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Finding the Third Proportional to 162,712 and 351,742

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Solution

The third proportional to 162,712 and 351,742 is: 760,376.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,712 : 351,742 = 351,742 : x
  2. Step 2: Convert to fraction form
    162,712/351,742 = 351,742/x
  3. Step 3: Cross multiply
    162,712x = 351,742 × 351,742
  4. Step 4: Simplify right side
    162,712x = 123,722,434,564
  5. Step 5: Solve for x
    x = 123,722,434,564/162,712
  6. Step 6: Final answer
    x = 760,376.83

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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.