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Finding the Third Proportional to 116,708 and 254,539

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Solution

The third proportional to 116,708 and 254,539 is: 555,147.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,708 : 254,539 = 254,539 : x
  2. Step 2: Convert to fraction form
    116,708/254,539 = 254,539/x
  3. Step 3: Cross multiply
    116,708x = 254,539 × 254,539
  4. Step 4: Simplify right side
    116,708x = 64,790,102,521
  5. Step 5: Solve for x
    x = 64,790,102,521/116,708
  6. Step 6: Final answer
    x = 555,147.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.