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Finding the Third Proportional to 116,457 and 250,743

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Solution

The third proportional to 116,457 and 250,743 is: 539,873.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,457 : 250,743 = 250,743 : x
  2. Step 2: Convert to fraction form
    116,457/250,743 = 250,743/x
  3. Step 3: Cross multiply
    116,457x = 250,743 × 250,743
  4. Step 4: Simplify right side
    116,457x = 62,872,052,049
  5. Step 5: Solve for x
    x = 62,872,052,049/116,457
  6. Step 6: Final answer
    x = 539,873.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.