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Finding the Third Proportional to 98,262 and 230,972

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Solution

The third proportional to 98,262 and 230,972 is: 542,916.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,262 : 230,972 = 230,972 : x
  2. Step 2: Convert to fraction form
    98,262/230,972 = 230,972/x
  3. Step 3: Cross multiply
    98,262x = 230,972 × 230,972
  4. Step 4: Simplify right side
    98,262x = 53,348,064,784
  5. Step 5: Solve for x
    x = 53,348,064,784/98,262
  6. Step 6: Final answer
    x = 542,916.54

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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.