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Finding the Third Proportional to 162,459 and 356,302.13

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Solution

The third proportional to 162,459 and 356,302.13 is: 781,435.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,459 : 356,302.13 = 356,302.13 : x
  2. Step 2: Convert to fraction form
    162,459/356,302.13 = 356,302.13/x
  3. Step 3: Cross multiply
    162,459x = 356,302.13 × 356,302.13
  4. Step 4: Simplify right side
    162,459x = 126,951,204,279.52
  5. Step 5: Solve for x
    x = 126,951,204,279.52/162,459
  6. Step 6: Final answer
    x = 781,435.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.