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Finding the Third Proportional to 134,985 and 209,552

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Solution

The third proportional to 134,985 and 209,552 is: 325,310.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,985 : 209,552 = 209,552 : x
  2. Step 2: Convert to fraction form
    134,985/209,552 = 209,552/x
  3. Step 3: Cross multiply
    134,985x = 209,552 × 209,552
  4. Step 4: Simplify right side
    134,985x = 43,912,040,704
  5. Step 5: Solve for x
    x = 43,912,040,704/134,985
  6. Step 6: Final answer
    x = 325,310.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.