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Finding the Third Proportional to 186,257.50 and 402,275

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Solution

The third proportional to 186,257.50 and 402,275 is: 868,825.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,257.50 : 402,275 = 402,275 : x
  2. Step 2: Convert to fraction form
    186,257.50/402,275 = 402,275/x
  3. Step 3: Cross multiply
    186,257.50x = 402,275 × 402,275
  4. Step 4: Simplify right side
    186,257.50x = 161,825,175,625
  5. Step 5: Solve for x
    x = 161,825,175,625/186,257.50
  6. Step 6: Final answer
    x = 868,825.02

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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.