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Finding the Third Proportional to 252,573.19 and 540,168.75

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Solution

The third proportional to 252,573.19 and 540,168.75 is: 1,155,238.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,573.19 : 540,168.75 = 540,168.75 : x
  2. Step 2: Convert to fraction form
    252,573.19/540,168.75 = 540,168.75/x
  3. Step 3: Cross multiply
    252,573.19x = 540,168.75 × 540,168.75
  4. Step 4: Simplify right side
    252,573.19x = 291,782,278,476.56
  5. Step 5: Solve for x
    x = 291,782,278,476.56/252,573.19
  6. Step 6: Final answer
    x = 1,155,238.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.