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Finding the Third Proportional to 132,028 and 283,959

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Solution

The third proportional to 132,028 and 283,959 is: 610,724.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,028 : 283,959 = 283,959 : x
  2. Step 2: Convert to fraction form
    132,028/283,959 = 283,959/x
  3. Step 3: Cross multiply
    132,028x = 283,959 × 283,959
  4. Step 4: Simplify right side
    132,028x = 80,632,713,681
  5. Step 5: Solve for x
    x = 80,632,713,681/132,028
  6. Step 6: Final answer
    x = 610,724.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.