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Finding the Third Proportional to 111,708 and 239,407

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Solution

The third proportional to 111,708 and 239,407 is: 513,085.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,708 : 239,407 = 239,407 : x
  2. Step 2: Convert to fraction form
    111,708/239,407 = 239,407/x
  3. Step 3: Cross multiply
    111,708x = 239,407 × 239,407
  4. Step 4: Simplify right side
    111,708x = 57,315,711,649
  5. Step 5: Solve for x
    x = 57,315,711,649/111,708
  6. Step 6: Final answer
    x = 513,085.11

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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.