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Finding the Third Proportional to 175,851 and 251,991

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Solution

The third proportional to 175,851 and 251,991 is: 361,098.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,851 : 251,991 = 251,991 : x
  2. Step 2: Convert to fraction form
    175,851/251,991 = 251,991/x
  3. Step 3: Cross multiply
    175,851x = 251,991 × 251,991
  4. Step 4: Simplify right side
    175,851x = 63,499,464,081
  5. Step 5: Solve for x
    x = 63,499,464,081/175,851
  6. Step 6: Final answer
    x = 361,098.11

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.