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Finding the Third Proportional to 186,360 and 402,225

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Solution

The third proportional to 186,360 and 402,225 is: 868,131.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,360 : 402,225 = 402,225 : x
  2. Step 2: Convert to fraction form
    186,360/402,225 = 402,225/x
  3. Step 3: Cross multiply
    186,360x = 402,225 × 402,225
  4. Step 4: Simplify right side
    186,360x = 161,784,950,625
  5. Step 5: Solve for x
    x = 161,784,950,625/186,360
  6. Step 6: Final answer
    x = 868,131.31

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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.