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Finding the Third Proportional to 176,554 and 273,551

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Solution

The third proportional to 176,554 and 273,551 is: 423,837.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,554 : 273,551 = 273,551 : x
  2. Step 2: Convert to fraction form
    176,554/273,551 = 273,551/x
  3. Step 3: Cross multiply
    176,554x = 273,551 × 273,551
  4. Step 4: Simplify right side
    176,554x = 74,830,149,601
  5. Step 5: Solve for x
    x = 74,830,149,601/176,554
  6. Step 6: Final answer
    x = 423,837.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.