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Finding the Third Proportional to 183,538 and 247,010

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Solution

The third proportional to 183,538 and 247,010 is: 332,432.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,538 : 247,010 = 247,010 : x
  2. Step 2: Convert to fraction form
    183,538/247,010 = 247,010/x
  3. Step 3: Cross multiply
    183,538x = 247,010 × 247,010
  4. Step 4: Simplify right side
    183,538x = 61,013,940,100
  5. Step 5: Solve for x
    x = 61,013,940,100/183,538
  6. Step 6: Final answer
    x = 332,432.19

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.