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Finding the Third Proportional to 162,472 and 356,329

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Solution

The third proportional to 162,472 and 356,329 is: 781,490.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,472 : 356,329 = 356,329 : x
  2. Step 2: Convert to fraction form
    162,472/356,329 = 356,329/x
  3. Step 3: Cross multiply
    162,472x = 356,329 × 356,329
  4. Step 4: Simplify right side
    162,472x = 126,970,356,241
  5. Step 5: Solve for x
    x = 126,970,356,241/162,472
  6. Step 6: Final answer
    x = 781,490.70

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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.