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Finding the Third Proportional to 172,123.73 and 284,446.69

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Solution

The third proportional to 172,123.73 and 284,446.69 is: 470,068.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,123.73 : 284,446.69 = 284,446.69 : x
  2. Step 2: Convert to fraction form
    172,123.73/284,446.69 = 284,446.69/x
  3. Step 3: Cross multiply
    172,123.73x = 284,446.69 × 284,446.69
  4. Step 4: Simplify right side
    172,123.73x = 80,909,918,029.72
  5. Step 5: Solve for x
    x = 80,909,918,029.72/172,123.73
  6. Step 6: Final answer
    x = 470,068.34

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.