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Finding the Third Proportional to 186,304 and 402,254

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Solution

The third proportional to 186,304 and 402,254 is: 868,517.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,304 : 402,254 = 402,254 : x
  2. Step 2: Convert to fraction form
    186,304/402,254 = 402,254/x
  3. Step 3: Cross multiply
    186,304x = 402,254 × 402,254
  4. Step 4: Simplify right side
    186,304x = 161,808,280,516
  5. Step 5: Solve for x
    x = 161,808,280,516/186,304
  6. Step 6: Final answer
    x = 868,517.48

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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.