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Finding the Third Proportional to 192,417.75 and 445,397.06

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Solution

The third proportional to 192,417.75 and 445,397.06 is: 1,030,978.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,417.75 : 445,397.06 = 445,397.06 : x
  2. Step 2: Convert to fraction form
    192,417.75/445,397.06 = 445,397.06/x
  3. Step 3: Cross multiply
    192,417.75x = 445,397.06 × 445,397.06
  4. Step 4: Simplify right side
    192,417.75x = 198,378,543,283.63
  5. Step 5: Solve for x
    x = 198,378,543,283.63/192,417.75
  6. Step 6: Final answer
    x = 1,030,978.40

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.