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Finding the Third Proportional to 132,728 and 287,599.50

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Solution

The third proportional to 132,728 and 287,599.50 is: 623,180.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,728 : 287,599.50 = 287,599.50 : x
  2. Step 2: Convert to fraction form
    132,728/287,599.50 = 287,599.50/x
  3. Step 3: Cross multiply
    132,728x = 287,599.50 × 287,599.50
  4. Step 4: Simplify right side
    132,728x = 82,713,472,400.25
  5. Step 5: Solve for x
    x = 82,713,472,400.25/132,728
  6. Step 6: Final answer
    x = 623,180.28

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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.