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Finding the Third Proportional to 98,310 and 231,087

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Solution

The third proportional to 98,310 and 231,087 is: 543,191.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,310 : 231,087 = 231,087 : x
  2. Step 2: Convert to fraction form
    98,310/231,087 = 231,087/x
  3. Step 3: Cross multiply
    98,310x = 231,087 × 231,087
  4. Step 4: Simplify right side
    98,310x = 53,401,201,569
  5. Step 5: Solve for x
    x = 53,401,201,569/98,310
  6. Step 6: Final answer
    x = 543,191.96

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.