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Finding the Third Proportional to 132,032.53 and 287,848.69

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Solution

The third proportional to 132,032.53 and 287,848.69 is: 627,548.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,032.53 : 287,848.69 = 287,848.69 : x
  2. Step 2: Convert to fraction form
    132,032.53/287,848.69 = 287,848.69/x
  3. Step 3: Cross multiply
    132,032.53x = 287,848.69 × 287,848.69
  4. Step 4: Simplify right side
    132,032.53x = 82,856,866,895.47
  5. Step 5: Solve for x
    x = 82,856,866,895.47/132,032.53
  6. Step 6: Final answer
    x = 627,548.88

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.