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Finding the Third Proportional to 107,670 and 251,484

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Solution

The third proportional to 107,670 and 251,484 is: 587,389.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,670 : 251,484 = 251,484 : x
  2. Step 2: Convert to fraction form
    107,670/251,484 = 251,484/x
  3. Step 3: Cross multiply
    107,670x = 251,484 × 251,484
  4. Step 4: Simplify right side
    107,670x = 63,244,202,256
  5. Step 5: Solve for x
    x = 63,244,202,256/107,670
  6. Step 6: Final answer
    x = 587,389.27

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.