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Finding the Third Proportional to 250,148 and 374,538

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Solution

The third proportional to 250,148 and 374,538 is: 560,782.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,148 : 374,538 = 374,538 : x
  2. Step 2: Convert to fraction form
    250,148/374,538 = 374,538/x
  3. Step 3: Cross multiply
    250,148x = 374,538 × 374,538
  4. Step 4: Simplify right side
    250,148x = 140,278,713,444
  5. Step 5: Solve for x
    x = 140,278,713,444/250,148
  6. Step 6: Final answer
    x = 560,782.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.