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Finding the Third Proportional to 177,356 and 362,998

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Solution

The third proportional to 177,356 and 362,998 is: 742,955.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,356 : 362,998 = 362,998 : x
  2. Step 2: Convert to fraction form
    177,356/362,998 = 362,998/x
  3. Step 3: Cross multiply
    177,356x = 362,998 × 362,998
  4. Step 4: Simplify right side
    177,356x = 131,767,548,004
  5. Step 5: Solve for x
    x = 131,767,548,004/177,356
  6. Step 6: Final answer
    x = 742,955.12

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.