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Finding the Third Proportional to 135,522 and 297,300

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Solution

The third proportional to 135,522 and 297,300 is: 652,198.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,522 : 297,300 = 297,300 : x
  2. Step 2: Convert to fraction form
    135,522/297,300 = 297,300/x
  3. Step 3: Cross multiply
    135,522x = 297,300 × 297,300
  4. Step 4: Simplify right side
    135,522x = 88,387,290,000
  5. Step 5: Solve for x
    x = 88,387,290,000/135,522
  6. Step 6: Final answer
    x = 652,198.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.