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Finding the Third Proportional to 98,257 and 230,963

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Solution

The third proportional to 98,257 and 230,963 is: 542,901.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,257 : 230,963 = 230,963 : x
  2. Step 2: Convert to fraction form
    98,257/230,963 = 230,963/x
  3. Step 3: Cross multiply
    98,257x = 230,963 × 230,963
  4. Step 4: Simplify right side
    98,257x = 53,343,907,369
  5. Step 5: Solve for x
    x = 53,343,907,369/98,257
  6. Step 6: Final answer
    x = 542,901.85

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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.