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Finding the Third Proportional to 186,788 and 282,126

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Solution

The third proportional to 186,788 and 282,126 is: 426,125.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,788 : 282,126 = 282,126 : x
  2. Step 2: Convert to fraction form
    186,788/282,126 = 282,126/x
  3. Step 3: Cross multiply
    186,788x = 282,126 × 282,126
  4. Step 4: Simplify right side
    186,788x = 79,595,079,876
  5. Step 5: Solve for x
    x = 79,595,079,876/186,788
  6. Step 6: Final answer
    x = 426,125.23

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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.