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Finding the Third Proportional to 176,691 and 273,892.50

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Solution

The third proportional to 176,691 and 273,892.50 is: 424,566.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,691 : 273,892.50 = 273,892.50 : x
  2. Step 2: Convert to fraction form
    176,691/273,892.50 = 273,892.50/x
  3. Step 3: Cross multiply
    176,691x = 273,892.50 × 273,892.50
  4. Step 4: Simplify right side
    176,691x = 75,017,101,556.25
  5. Step 5: Solve for x
    x = 75,017,101,556.25/176,691
  6. Step 6: Final answer
    x = 424,566.63

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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.