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Finding the Third Proportional to 112,288.78 and 243,269.58

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Solution

The third proportional to 112,288.78 and 243,269.58 is: 527,034.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,288.78 : 243,269.58 = 243,269.58 : x
  2. Step 2: Convert to fraction form
    112,288.78/243,269.58 = 243,269.58/x
  3. Step 3: Cross multiply
    112,288.78x = 243,269.58 × 243,269.58
  4. Step 4: Simplify right side
    112,288.78x = 59,180,087,641.12
  5. Step 5: Solve for x
    x = 59,180,087,641.12/112,288.78
  6. Step 6: Final answer
    x = 527,034.73

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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.