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Finding the Third Proportional to 162,648 and 352,446

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Solution

The third proportional to 162,648 and 352,446 is: 763,724.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,648 : 352,446 = 352,446 : x
  2. Step 2: Convert to fraction form
    162,648/352,446 = 352,446/x
  3. Step 3: Cross multiply
    162,648x = 352,446 × 352,446
  4. Step 4: Simplify right side
    162,648x = 124,218,182,916
  5. Step 5: Solve for x
    x = 124,218,182,916/162,648
  6. Step 6: Final answer
    x = 763,724.01

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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.