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Finding the Third Proportional to 186,684 and 283,920

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Solution

The third proportional to 186,684 and 283,920 is: 431,802.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,684 : 283,920 = 283,920 : x
  2. Step 2: Convert to fraction form
    186,684/283,920 = 283,920/x
  3. Step 3: Cross multiply
    186,684x = 283,920 × 283,920
  4. Step 4: Simplify right side
    186,684x = 80,610,566,400
  5. Step 5: Solve for x
    x = 80,610,566,400/186,684
  6. Step 6: Final answer
    x = 431,802.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.