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Finding the Third Proportional to 84,307.50 and 186,468.75

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Solution

The third proportional to 84,307.50 and 186,468.75 is: 412,425.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,307.50 : 186,468.75 = 186,468.75 : x
  2. Step 2: Convert to fraction form
    84,307.50/186,468.75 = 186,468.75/x
  3. Step 3: Cross multiply
    84,307.50x = 186,468.75 × 186,468.75
  4. Step 4: Simplify right side
    84,307.50x = 34,770,594,726.56
  5. Step 5: Solve for x
    x = 34,770,594,726.56/84,307.50
  6. Step 6: Final answer
    x = 412,425.88

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.