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Finding the Third Proportional to 186,482.25 and 281,274.19

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Solution

The third proportional to 186,482.25 and 281,274.19 is: 424,250.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,482.25 : 281,274.19 = 281,274.19 : x
  2. Step 2: Convert to fraction form
    186,482.25/281,274.19 = 281,274.19/x
  3. Step 3: Cross multiply
    186,482.25x = 281,274.19 × 281,274.19
  4. Step 4: Simplify right side
    186,482.25x = 79,115,168,553.79
  5. Step 5: Solve for x
    x = 79,115,168,553.79/186,482.25
  6. Step 6: Final answer
    x = 424,250.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.