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Finding the Third Proportional to 135,267 and 290,884.13

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Solution

The third proportional to 135,267 and 290,884.13 is: 625,530.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,267 : 290,884.13 = 290,884.13 : x
  2. Step 2: Convert to fraction form
    135,267/290,884.13 = 290,884.13/x
  3. Step 3: Cross multiply
    135,267x = 290,884.13 × 290,884.13
  4. Step 4: Simplify right side
    135,267x = 84,613,574,177.02
  5. Step 5: Solve for x
    x = 84,613,574,177.02/135,267
  6. Step 6: Final answer
    x = 625,530.06

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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.