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Finding the Third Proportional to 132,597 and 286,375.50

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Solution

The third proportional to 132,597 and 286,375.50 is: 618,497.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,597 : 286,375.50 = 286,375.50 : x
  2. Step 2: Convert to fraction form
    132,597/286,375.50 = 286,375.50/x
  3. Step 3: Cross multiply
    132,597x = 286,375.50 × 286,375.50
  4. Step 4: Simplify right side
    132,597x = 82,010,927,000.25
  5. Step 5: Solve for x
    x = 82,010,927,000.25/132,597
  6. Step 6: Final answer
    x = 618,497.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.