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Finding the Third Proportional to 186,690 and 283,929

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Solution

The third proportional to 186,690 and 283,929 is: 431,815.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,690 : 283,929 = 283,929 : x
  2. Step 2: Convert to fraction form
    186,690/283,929 = 283,929/x
  3. Step 3: Cross multiply
    186,690x = 283,929 × 283,929
  4. Step 4: Simplify right side
    186,690x = 80,615,677,041
  5. Step 5: Solve for x
    x = 80,615,677,041/186,690
  6. Step 6: Final answer
    x = 431,815.72

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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.