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Finding the Third Proportional to 243,853.50 and 540,013.50

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Solution

The third proportional to 243,853.50 and 540,013.50 is: 1,195,859.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,853.50 : 540,013.50 = 540,013.50 : x
  2. Step 2: Convert to fraction form
    243,853.50/540,013.50 = 540,013.50/x
  3. Step 3: Cross multiply
    243,853.50x = 540,013.50 × 540,013.50
  4. Step 4: Simplify right side
    243,853.50x = 291,614,580,182.25
  5. Step 5: Solve for x
    x = 291,614,580,182.25/243,853.50
  6. Step 6: Final answer
    x = 1,195,859.73

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.