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Finding the Third Proportional to 135,974.16 and 290,631.80

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Solution

The third proportional to 135,974.16 and 290,631.80 is: 621,197.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,974.16 : 290,631.80 = 290,631.80 : x
  2. Step 2: Convert to fraction form
    135,974.16/290,631.80 = 290,631.80/x
  3. Step 3: Cross multiply
    135,974.16x = 290,631.80 × 290,631.80
  4. Step 4: Simplify right side
    135,974.16x = 84,466,841,354.79
  5. Step 5: Solve for x
    x = 84,466,841,354.79/135,974.16
  6. Step 6: Final answer
    x = 621,197.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.