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Finding the Third Proportional to 142,676 and 309,128.50

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Solution

The third proportional to 142,676 and 309,128.50 is: 669,772.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,676 : 309,128.50 = 309,128.50 : x
  2. Step 2: Convert to fraction form
    142,676/309,128.50 = 309,128.50/x
  3. Step 3: Cross multiply
    142,676x = 309,128.50 × 309,128.50
  4. Step 4: Simplify right side
    142,676x = 95,560,429,512.25
  5. Step 5: Solve for x
    x = 95,560,429,512.25/142,676
  6. Step 6: Final answer
    x = 669,772.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.