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Finding the Third Proportional to 132,727.04 and 287,597.46

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Solution

The third proportional to 132,727.04 and 287,597.46 is: 623,175.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,727.04 : 287,597.46 = 287,597.46 : x
  2. Step 2: Convert to fraction form
    132,727.04/287,597.46 = 287,597.46/x
  3. Step 3: Cross multiply
    132,727.04x = 287,597.46 × 287,597.46
  4. Step 4: Simplify right side
    132,727.04x = 82,712,299,537.70
  5. Step 5: Solve for x
    x = 82,712,299,537.70/132,727.04
  6. Step 6: Final answer
    x = 623,175.94

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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.