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Finding the Third Proportional to 162,463 and 251,069

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Solution

The third proportional to 162,463 and 251,069 is: 387,999.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,463 : 251,069 = 251,069 : x
  2. Step 2: Convert to fraction form
    162,463/251,069 = 251,069/x
  3. Step 3: Cross multiply
    162,463x = 251,069 × 251,069
  4. Step 4: Simplify right side
    162,463x = 63,035,642,761
  5. Step 5: Solve for x
    x = 63,035,642,761/162,463
  6. Step 6: Final answer
    x = 387,999.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.