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Finding the Third Proportional to 128,698 and 283,572

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Solution

The third proportional to 128,698 and 283,572 is: 624,819.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,698 : 283,572 = 283,572 : x
  2. Step 2: Convert to fraction form
    128,698/283,572 = 283,572/x
  3. Step 3: Cross multiply
    128,698x = 283,572 × 283,572
  4. Step 4: Simplify right side
    128,698x = 80,413,079,184
  5. Step 5: Solve for x
    x = 80,413,079,184/128,698
  6. Step 6: Final answer
    x = 624,819.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.