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Finding the Third Proportional to 131,992.50 and 216,687

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Solution

The third proportional to 131,992.50 and 216,687 is: 355,726.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,992.50 : 216,687 = 216,687 : x
  2. Step 2: Convert to fraction form
    131,992.50/216,687 = 216,687/x
  3. Step 3: Cross multiply
    131,992.50x = 216,687 × 216,687
  4. Step 4: Simplify right side
    131,992.50x = 46,953,255,969
  5. Step 5: Solve for x
    x = 46,953,255,969/131,992.50
  6. Step 6: Final answer
    x = 355,726.70

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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.