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Finding the Third Proportional to 186,470.50 and 402,425

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Solution

The third proportional to 186,470.50 and 402,425 is: 868,479.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,470.50 : 402,425 = 402,425 : x
  2. Step 2: Convert to fraction form
    186,470.50/402,425 = 402,425/x
  3. Step 3: Cross multiply
    186,470.50x = 402,425 × 402,425
  4. Step 4: Simplify right side
    186,470.50x = 161,945,880,625
  5. Step 5: Solve for x
    x = 161,945,880,625/186,470.50
  6. Step 6: Final answer
    x = 868,479.90

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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.