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Finding the Third Proportional to 98,264 and 230,988

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Solution

The third proportional to 98,264 and 230,988 is: 542,980.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,264 : 230,988 = 230,988 : x
  2. Step 2: Convert to fraction form
    98,264/230,988 = 230,988/x
  3. Step 3: Cross multiply
    98,264x = 230,988 × 230,988
  4. Step 4: Simplify right side
    98,264x = 53,355,456,144
  5. Step 5: Solve for x
    x = 53,355,456,144/98,264
  6. Step 6: Final answer
    x = 542,980.71

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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.