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Finding the Third Proportional to 251,872 and 349,095

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Solution

The third proportional to 251,872 and 349,095 is: 483,846.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,872 : 349,095 = 349,095 : x
  2. Step 2: Convert to fraction form
    251,872/349,095 = 349,095/x
  3. Step 3: Cross multiply
    251,872x = 349,095 × 349,095
  4. Step 4: Simplify right side
    251,872x = 121,867,319,025
  5. Step 5: Solve for x
    x = 121,867,319,025/251,872
  6. Step 6: Final answer
    x = 483,846.24

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.