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Finding the Third Proportional to 132,732.75 and 286,596.75

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Solution

The third proportional to 132,732.75 and 286,596.75 is: 618,820.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,732.75 : 286,596.75 = 286,596.75 : x
  2. Step 2: Convert to fraction form
    132,732.75/286,596.75 = 286,596.75/x
  3. Step 3: Cross multiply
    132,732.75x = 286,596.75 × 286,596.75
  4. Step 4: Simplify right side
    132,732.75x = 82,137,697,110.56
  5. Step 5: Solve for x
    x = 82,137,697,110.56/132,732.75
  6. Step 6: Final answer
    x = 618,820.13

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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.