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Finding the Third Proportional to 176,098 and 272,788

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Solution

The third proportional to 176,098 and 272,788 is: 422,567.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,098 : 272,788 = 272,788 : x
  2. Step 2: Convert to fraction form
    176,098/272,788 = 272,788/x
  3. Step 3: Cross multiply
    176,098x = 272,788 × 272,788
  4. Step 4: Simplify right side
    176,098x = 74,413,292,944
  5. Step 5: Solve for x
    x = 74,413,292,944/176,098
  6. Step 6: Final answer
    x = 422,567.51

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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.