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Finding the Third Proportional to 187,540 and 382,042

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Solution

The third proportional to 187,540 and 382,042 is: 778,266.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,540 : 382,042 = 382,042 : x
  2. Step 2: Convert to fraction form
    187,540/382,042 = 382,042/x
  3. Step 3: Cross multiply
    187,540x = 382,042 × 382,042
  4. Step 4: Simplify right side
    187,540x = 145,956,089,764
  5. Step 5: Solve for x
    x = 145,956,089,764/187,540
  6. Step 6: Final answer
    x = 778,266.45

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.