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Finding the Third Proportional to 232,704 and 360,288

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Solution

The third proportional to 232,704 and 360,288 is: 557,822.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,704 : 360,288 = 360,288 : x
  2. Step 2: Convert to fraction form
    232,704/360,288 = 360,288/x
  3. Step 3: Cross multiply
    232,704x = 360,288 × 360,288
  4. Step 4: Simplify right side
    232,704x = 129,807,442,944
  5. Step 5: Solve for x
    x = 129,807,442,944/232,704
  6. Step 6: Final answer
    x = 557,822.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.