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Finding the Third Proportional to 180,549 and 391,229

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Solution

The third proportional to 180,549 and 391,229 is: 847,748.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,549 : 391,229 = 391,229 : x
  2. Step 2: Convert to fraction form
    180,549/391,229 = 391,229/x
  3. Step 3: Cross multiply
    180,549x = 391,229 × 391,229
  4. Step 4: Simplify right side
    180,549x = 153,060,130,441
  5. Step 5: Solve for x
    x = 153,060,130,441/180,549
  6. Step 6: Final answer
    x = 847,748.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.