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Finding the Third Proportional to 187,523 and 404,365

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Solution

The third proportional to 187,523 and 404,365 is: 871,951.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,523 : 404,365 = 404,365 : x
  2. Step 2: Convert to fraction form
    187,523/404,365 = 404,365/x
  3. Step 3: Cross multiply
    187,523x = 404,365 × 404,365
  4. Step 4: Simplify right side
    187,523x = 163,511,053,225
  5. Step 5: Solve for x
    x = 163,511,053,225/187,523
  6. Step 6: Final answer
    x = 871,951.99

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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.