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Finding the Third Proportional to 186,858 and 282,231

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Solution

The third proportional to 186,858 and 282,231 is: 426,282.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,858 : 282,231 = 282,231 : x
  2. Step 2: Convert to fraction form
    186,858/282,231 = 282,231/x
  3. Step 3: Cross multiply
    186,858x = 282,231 × 282,231
  4. Step 4: Simplify right side
    186,858x = 79,654,337,361
  5. Step 5: Solve for x
    x = 79,654,337,361/186,858
  6. Step 6: Final answer
    x = 426,282.72

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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.