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Finding the Third Proportional to 129,650 and 268,300

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Solution

The third proportional to 129,650 and 268,300 is: 555,224.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,650 : 268,300 = 268,300 : x
  2. Step 2: Convert to fraction form
    129,650/268,300 = 268,300/x
  3. Step 3: Cross multiply
    129,650x = 268,300 × 268,300
  4. Step 4: Simplify right side
    129,650x = 71,984,890,000
  5. Step 5: Solve for x
    x = 71,984,890,000/129,650
  6. Step 6: Final answer
    x = 555,224.76

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.