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Finding the Third Proportional to 186,356.25 and 402,219

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Solution

The third proportional to 186,356.25 and 402,219 is: 868,122.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,356.25 : 402,219 = 402,219 : x
  2. Step 2: Convert to fraction form
    186,356.25/402,219 = 402,219/x
  3. Step 3: Cross multiply
    186,356.25x = 402,219 × 402,219
  4. Step 4: Simplify right side
    186,356.25x = 161,780,123,961
  5. Step 5: Solve for x
    x = 161,780,123,961/186,356.25
  6. Step 6: Final answer
    x = 868,122.88

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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.