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Finding the Third Proportional to 186,634 and 283,407

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Solution

The third proportional to 186,634 and 283,407 is: 430,358.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,634 : 283,407 = 283,407 : x
  2. Step 2: Convert to fraction form
    186,634/283,407 = 283,407/x
  3. Step 3: Cross multiply
    186,634x = 283,407 × 283,407
  4. Step 4: Simplify right side
    186,634x = 80,319,527,649
  5. Step 5: Solve for x
    x = 80,319,527,649/186,634
  6. Step 6: Final answer
    x = 430,358.50

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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.