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Finding the Third Proportional to 98,258 and 230,962

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Solution

The third proportional to 98,258 and 230,962 is: 542,891.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,258 : 230,962 = 230,962 : x
  2. Step 2: Convert to fraction form
    98,258/230,962 = 230,962/x
  3. Step 3: Cross multiply
    98,258x = 230,962 × 230,962
  4. Step 4: Simplify right side
    98,258x = 53,343,445,444
  5. Step 5: Solve for x
    x = 53,343,445,444/98,258
  6. Step 6: Final answer
    x = 542,891.63

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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.