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Finding the Third Proportional to 112,331 and 240,457

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Solution

The third proportional to 112,331 and 240,457 is: 514,724.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,331 : 240,457 = 240,457 : x
  2. Step 2: Convert to fraction form
    112,331/240,457 = 240,457/x
  3. Step 3: Cross multiply
    112,331x = 240,457 × 240,457
  4. Step 4: Simplify right side
    112,331x = 57,819,568,849
  5. Step 5: Solve for x
    x = 57,819,568,849/112,331
  6. Step 6: Final answer
    x = 514,724.95

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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.