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Finding the Third Proportional to 140,016 and 297,300

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Solution

The third proportional to 140,016 and 297,300 is: 631,265.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,016 : 297,300 = 297,300 : x
  2. Step 2: Convert to fraction form
    140,016/297,300 = 297,300/x
  3. Step 3: Cross multiply
    140,016x = 297,300 × 297,300
  4. Step 4: Simplify right side
    140,016x = 88,387,290,000
  5. Step 5: Solve for x
    x = 88,387,290,000/140,016
  6. Step 6: Final answer
    x = 631,265.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.