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Finding the Third Proportional to 140,304 and 210,616

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Solution

The third proportional to 140,304 and 210,616 is: 316,164.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,304 : 210,616 = 210,616 : x
  2. Step 2: Convert to fraction form
    140,304/210,616 = 210,616/x
  3. Step 3: Cross multiply
    140,304x = 210,616 × 210,616
  4. Step 4: Simplify right side
    140,304x = 44,359,099,456
  5. Step 5: Solve for x
    x = 44,359,099,456/140,304
  6. Step 6: Final answer
    x = 316,164.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.