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Finding the Third Proportional to 98,270 and 230,987

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Solution

The third proportional to 98,270 and 230,987 is: 542,942.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,270 : 230,987 = 230,987 : x
  2. Step 2: Convert to fraction form
    98,270/230,987 = 230,987/x
  3. Step 3: Cross multiply
    98,270x = 230,987 × 230,987
  4. Step 4: Simplify right side
    98,270x = 53,354,994,169
  5. Step 5: Solve for x
    x = 53,354,994,169/98,270
  6. Step 6: Final answer
    x = 542,942.85

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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.