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Finding the Third Proportional to 185,138 and 280,304

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Solution

The third proportional to 185,138 and 280,304 is: 424,387.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,138 : 280,304 = 280,304 : x
  2. Step 2: Convert to fraction form
    185,138/280,304 = 280,304/x
  3. Step 3: Cross multiply
    185,138x = 280,304 × 280,304
  4. Step 4: Simplify right side
    185,138x = 78,570,332,416
  5. Step 5: Solve for x
    x = 78,570,332,416/185,138
  6. Step 6: Final answer
    x = 424,387.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.