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Finding the Third Proportional to 253,856.50 and 540,314

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Solution

The third proportional to 253,856.50 and 540,314 is: 1,150,016.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,856.50 : 540,314 = 540,314 : x
  2. Step 2: Convert to fraction form
    253,856.50/540,314 = 540,314/x
  3. Step 3: Cross multiply
    253,856.50x = 540,314 × 540,314
  4. Step 4: Simplify right side
    253,856.50x = 291,939,218,596
  5. Step 5: Solve for x
    x = 291,939,218,596/253,856.50
  6. Step 6: Final answer
    x = 1,150,016.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.