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Finding the Third Proportional to 175,468 and 262,031

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Solution

The third proportional to 175,468 and 262,031 is: 391,297.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,468 : 262,031 = 262,031 : x
  2. Step 2: Convert to fraction form
    175,468/262,031 = 262,031/x
  3. Step 3: Cross multiply
    175,468x = 262,031 × 262,031
  4. Step 4: Simplify right side
    175,468x = 68,660,244,961
  5. Step 5: Solve for x
    x = 68,660,244,961/175,468
  6. Step 6: Final answer
    x = 391,297.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.