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Finding the Third Proportional to 253,221.19 and 540,340.88

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Solution

The third proportional to 253,221.19 and 540,340.88 is: 1,153,016.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,221.19 : 540,340.88 = 540,340.88 : x
  2. Step 2: Convert to fraction form
    253,221.19/540,340.88 = 540,340.88/x
  3. Step 3: Cross multiply
    253,221.19x = 540,340.88 × 540,340.88
  4. Step 4: Simplify right side
    253,221.19x = 291,968,261,195.77
  5. Step 5: Solve for x
    x = 291,968,261,195.77/253,221.19
  6. Step 6: Final answer
    x = 1,153,016.71

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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.