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Finding the Third Proportional to 112,850 and 252,436

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Solution

The third proportional to 112,850 and 252,436 is: 564,678.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,850 : 252,436 = 252,436 : x
  2. Step 2: Convert to fraction form
    112,850/252,436 = 252,436/x
  3. Step 3: Cross multiply
    112,850x = 252,436 × 252,436
  4. Step 4: Simplify right side
    112,850x = 63,723,934,096
  5. Step 5: Solve for x
    x = 63,723,934,096/112,850
  6. Step 6: Final answer
    x = 564,678.19

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.