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Finding the Third Proportional to 132,030 and 283,963

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Solution

The third proportional to 132,030 and 283,963 is: 610,732.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,030 : 283,963 = 283,963 : x
  2. Step 2: Convert to fraction form
    132,030/283,963 = 283,963/x
  3. Step 3: Cross multiply
    132,030x = 283,963 × 283,963
  4. Step 4: Simplify right side
    132,030x = 80,634,985,369
  5. Step 5: Solve for x
    x = 80,634,985,369/132,030
  6. Step 6: Final answer
    x = 610,732.30

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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.