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Finding the Third Proportional to 162,782 and 352,729

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Solution

The third proportional to 162,782 and 352,729 is: 764,321.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,782 : 352,729 = 352,729 : x
  2. Step 2: Convert to fraction form
    162,782/352,729 = 352,729/x
  3. Step 3: Cross multiply
    162,782x = 352,729 × 352,729
  4. Step 4: Simplify right side
    162,782x = 124,417,747,441
  5. Step 5: Solve for x
    x = 124,417,747,441/162,782
  6. Step 6: Final answer
    x = 764,321.29

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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.