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Finding the Third Proportional to 132,520 and 283,976

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Solution

The third proportional to 132,520 and 283,976 is: 608,529.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,520 : 283,976 = 283,976 : x
  2. Step 2: Convert to fraction form
    132,520/283,976 = 283,976/x
  3. Step 3: Cross multiply
    132,520x = 283,976 × 283,976
  4. Step 4: Simplify right side
    132,520x = 80,642,368,576
  5. Step 5: Solve for x
    x = 80,642,368,576/132,520
  6. Step 6: Final answer
    x = 608,529.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.