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Finding the Third Proportional to 112,644 and 239,632

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Solution

The third proportional to 112,644 and 239,632 is: 509,778.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,644 : 239,632 = 239,632 : x
  2. Step 2: Convert to fraction form
    112,644/239,632 = 239,632/x
  3. Step 3: Cross multiply
    112,644x = 239,632 × 239,632
  4. Step 4: Simplify right side
    112,644x = 57,423,495,424
  5. Step 5: Solve for x
    x = 57,423,495,424/112,644
  6. Step 6: Final answer
    x = 509,778.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.