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Finding the Third Proportional to 112,602 and 240,932

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Solution

The third proportional to 112,602 and 240,932 is: 515,516.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,602 : 240,932 = 240,932 : x
  2. Step 2: Convert to fraction form
    112,602/240,932 = 240,932/x
  3. Step 3: Cross multiply
    112,602x = 240,932 × 240,932
  4. Step 4: Simplify right side
    112,602x = 58,048,228,624
  5. Step 5: Solve for x
    x = 58,048,228,624/112,602
  6. Step 6: Final answer
    x = 515,516.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.