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Finding the Third Proportional to 186,768 and 279,492

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Solution

The third proportional to 186,768 and 279,492 is: 418,250.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,768 : 279,492 = 279,492 : x
  2. Step 2: Convert to fraction form
    186,768/279,492 = 279,492/x
  3. Step 3: Cross multiply
    186,768x = 279,492 × 279,492
  4. Step 4: Simplify right side
    186,768x = 78,115,778,064
  5. Step 5: Solve for x
    x = 78,115,778,064/186,768
  6. Step 6: Final answer
    x = 418,250.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.