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Finding the Third Proportional to 132,832 and 287,792

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Solution

The third proportional to 132,832 and 287,792 is: 623,526.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,832 : 287,792 = 287,792 : x
  2. Step 2: Convert to fraction form
    132,832/287,792 = 287,792/x
  3. Step 3: Cross multiply
    132,832x = 287,792 × 287,792
  4. Step 4: Simplify right side
    132,832x = 82,824,235,264
  5. Step 5: Solve for x
    x = 82,824,235,264/132,832
  6. Step 6: Final answer
    x = 623,526.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.