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Finding the Third Proportional to 107,510 and 235,478

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Solution

The third proportional to 107,510 and 235,478 is: 515,764.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,510 : 235,478 = 235,478 : x
  2. Step 2: Convert to fraction form
    107,510/235,478 = 235,478/x
  3. Step 3: Cross multiply
    107,510x = 235,478 × 235,478
  4. Step 4: Simplify right side
    107,510x = 55,449,888,484
  5. Step 5: Solve for x
    x = 55,449,888,484/107,510
  6. Step 6: Final answer
    x = 515,764.94

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.