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Finding the Third Proportional to 232,812 and 360,605.25

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Solution

The third proportional to 232,812 and 360,605.25 is: 558,545.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,812 : 360,605.25 = 360,605.25 : x
  2. Step 2: Convert to fraction form
    232,812/360,605.25 = 360,605.25/x
  3. Step 3: Cross multiply
    232,812x = 360,605.25 × 360,605.25
  4. Step 4: Simplify right side
    232,812x = 130,036,146,327.56
  5. Step 5: Solve for x
    x = 130,036,146,327.56/232,812
  6. Step 6: Final answer
    x = 558,545.72

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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.