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Finding the Third Proportional to 141,405.33 and 197,798.06

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Solution

The third proportional to 141,405.33 and 197,798.06 is: 276,680.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,405.33 : 197,798.06 = 197,798.06 : x
  2. Step 2: Convert to fraction form
    141,405.33/197,798.06 = 197,798.06/x
  3. Step 3: Cross multiply
    141,405.33x = 197,798.06 × 197,798.06
  4. Step 4: Simplify right side
    141,405.33x = 39,124,073,528.75
  5. Step 5: Solve for x
    x = 39,124,073,528.75/141,405.33
  6. Step 6: Final answer
    x = 276,680.33

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.