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Finding the Third Proportional to 248,943.38 and 540,037.13

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Solution

The third proportional to 248,943.38 and 540,037.13 is: 1,171,511.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,943.38 : 540,037.13 = 540,037.13 : x
  2. Step 2: Convert to fraction form
    248,943.38/540,037.13 = 540,037.13/x
  3. Step 3: Cross multiply
    248,943.38x = 540,037.13 × 540,037.13
  4. Step 4: Simplify right side
    248,943.38x = 291,640,096,378.27
  5. Step 5: Solve for x
    x = 291,640,096,378.27/248,943.38
  6. Step 6: Final answer
    x = 1,171,511.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.