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Finding the Third Proportional to 186,698.25 and 278,829

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Solution

The third proportional to 186,698.25 and 278,829 is: 416,423.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,698.25 : 278,829 = 278,829 : x
  2. Step 2: Convert to fraction form
    186,698.25/278,829 = 278,829/x
  3. Step 3: Cross multiply
    186,698.25x = 278,829 × 278,829
  4. Step 4: Simplify right side
    186,698.25x = 77,745,611,241
  5. Step 5: Solve for x
    x = 77,745,611,241/186,698.25
  6. Step 6: Final answer
    x = 416,423.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.