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Finding the Third Proportional to 138,300 and 297,620

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Solution

The third proportional to 138,300 and 297,620 is: 640,474.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,300 : 297,620 = 297,620 : x
  2. Step 2: Convert to fraction form
    138,300/297,620 = 297,620/x
  3. Step 3: Cross multiply
    138,300x = 297,620 × 297,620
  4. Step 4: Simplify right side
    138,300x = 88,577,664,400
  5. Step 5: Solve for x
    x = 88,577,664,400/138,300
  6. Step 6: Final answer
    x = 640,474.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.