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Finding the Third Proportional to 112,368 and 240,727

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Solution

The third proportional to 112,368 and 240,727 is: 515,711.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,368 : 240,727 = 240,727 : x
  2. Step 2: Convert to fraction form
    112,368/240,727 = 240,727/x
  3. Step 3: Cross multiply
    112,368x = 240,727 × 240,727
  4. Step 4: Simplify right side
    112,368x = 57,949,488,529
  5. Step 5: Solve for x
    x = 57,949,488,529/112,368
  6. Step 6: Final answer
    x = 515,711.67

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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.