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Finding the Third Proportional to 116,668 and 254,720

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Solution

The third proportional to 116,668 and 254,720 is: 556,127.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,668 : 254,720 = 254,720 : x
  2. Step 2: Convert to fraction form
    116,668/254,720 = 254,720/x
  3. Step 3: Cross multiply
    116,668x = 254,720 × 254,720
  4. Step 4: Simplify right side
    116,668x = 64,882,278,400
  5. Step 5: Solve for x
    x = 64,882,278,400/116,668
  6. Step 6: Final answer
    x = 556,127.46

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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.