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Finding the Third Proportional to 187,516.13 and 404,352

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Solution

The third proportional to 187,516.13 and 404,352 is: 871,927.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,516.13 : 404,352 = 404,352 : x
  2. Step 2: Convert to fraction form
    187,516.13/404,352 = 404,352/x
  3. Step 3: Cross multiply
    187,516.13x = 404,352 × 404,352
  4. Step 4: Simplify right side
    187,516.13x = 163,500,539,904
  5. Step 5: Solve for x
    x = 163,500,539,904/187,516.13
  6. Step 6: Final answer
    x = 871,927.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.