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Finding the Third Proportional to 132,006 and 216,708

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Solution

The third proportional to 132,006 and 216,708 is: 355,759.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,006 : 216,708 = 216,708 : x
  2. Step 2: Convert to fraction form
    132,006/216,708 = 216,708/x
  3. Step 3: Cross multiply
    132,006x = 216,708 × 216,708
  4. Step 4: Simplify right side
    132,006x = 46,962,357,264
  5. Step 5: Solve for x
    x = 46,962,357,264/132,006
  6. Step 6: Final answer
    x = 355,759.26

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.