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Finding the Third Proportional to 187,817.50 and 417,629

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Solution

The third proportional to 187,817.50 and 417,629 is: 928,635.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,817.50 : 417,629 = 417,629 : x
  2. Step 2: Convert to fraction form
    187,817.50/417,629 = 417,629/x
  3. Step 3: Cross multiply
    187,817.50x = 417,629 × 417,629
  4. Step 4: Simplify right side
    187,817.50x = 174,413,981,641
  5. Step 5: Solve for x
    x = 174,413,981,641/187,817.50
  6. Step 6: Final answer
    x = 928,635.41

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.