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Finding the Third Proportional to 186,594 and 281,238

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Solution

The third proportional to 186,594 and 281,238 is: 423,887.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,594 : 281,238 = 281,238 : x
  2. Step 2: Convert to fraction form
    186,594/281,238 = 281,238/x
  3. Step 3: Cross multiply
    186,594x = 281,238 × 281,238
  4. Step 4: Simplify right side
    186,594x = 79,094,812,644
  5. Step 5: Solve for x
    x = 79,094,812,644/186,594
  6. Step 6: Final answer
    x = 423,887.22

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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.