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Finding the Third Proportional to 187,259 and 404,446

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Solution

The third proportional to 187,259 and 404,446 is: 873,531.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,259 : 404,446 = 404,446 : x
  2. Step 2: Convert to fraction form
    187,259/404,446 = 404,446/x
  3. Step 3: Cross multiply
    187,259x = 404,446 × 404,446
  4. Step 4: Simplify right side
    187,259x = 163,576,566,916
  5. Step 5: Solve for x
    x = 163,576,566,916/187,259
  6. Step 6: Final answer
    x = 873,531.14

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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.