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Finding the Third Proportional to 132,516 and 287,472

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Solution

The third proportional to 132,516 and 287,472 is: 623,623.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,516 : 287,472 = 287,472 : x
  2. Step 2: Convert to fraction form
    132,516/287,472 = 287,472/x
  3. Step 3: Cross multiply
    132,516x = 287,472 × 287,472
  4. Step 4: Simplify right side
    132,516x = 82,640,150,784
  5. Step 5: Solve for x
    x = 82,640,150,784/132,516
  6. Step 6: Final answer
    x = 623,623.95

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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.