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Finding the Third Proportional to 132,088 and 287,744

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Solution

The third proportional to 132,088 and 287,744 is: 626,829.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,088 : 287,744 = 287,744 : x
  2. Step 2: Convert to fraction form
    132,088/287,744 = 287,744/x
  3. Step 3: Cross multiply
    132,088x = 287,744 × 287,744
  4. Step 4: Simplify right side
    132,088x = 82,796,609,536
  5. Step 5: Solve for x
    x = 82,796,609,536/132,088
  6. Step 6: Final answer
    x = 626,829.16

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Why These Related Problems?

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