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Finding the Third Proportional to 110,766.38 and 242,977.13

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Solution

The third proportional to 110,766.38 and 242,977.13 is: 532,994.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,766.38 : 242,977.13 = 242,977.13 : x
  2. Step 2: Convert to fraction form
    110,766.38/242,977.13 = 242,977.13/x
  3. Step 3: Cross multiply
    110,766.38x = 242,977.13 × 242,977.13
  4. Step 4: Simplify right side
    110,766.38x = 59,037,883,273.27
  5. Step 5: Solve for x
    x = 59,037,883,273.27/110,766.38
  6. Step 6: Final answer
    x = 532,994.63

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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.