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Finding the Third Proportional to 187,943 and 391,435

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Solution

The third proportional to 187,943 and 391,435 is: 815,254.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,943 : 391,435 = 391,435 : x
  2. Step 2: Convert to fraction form
    187,943/391,435 = 391,435/x
  3. Step 3: Cross multiply
    187,943x = 391,435 × 391,435
  4. Step 4: Simplify right side
    187,943x = 153,221,359,225
  5. Step 5: Solve for x
    x = 153,221,359,225/187,943
  6. Step 6: Final answer
    x = 815,254.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.