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Finding the Third Proportional to 244,890 and 371,031

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Solution

The third proportional to 244,890 and 371,031 is: 562,146.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,890 : 371,031 = 371,031 : x
  2. Step 2: Convert to fraction form
    244,890/371,031 = 371,031/x
  3. Step 3: Cross multiply
    244,890x = 371,031 × 371,031
  4. Step 4: Simplify right side
    244,890x = 137,664,002,961
  5. Step 5: Solve for x
    x = 137,664,002,961/244,890
  6. Step 6: Final answer
    x = 562,146.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.