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Finding the Third Proportional to 241,108.50 and 518,507.25

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Solution

The third proportional to 241,108.50 and 518,507.25 is: 1,115,057.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,108.50 : 518,507.25 = 518,507.25 : x
  2. Step 2: Convert to fraction form
    241,108.50/518,507.25 = 518,507.25/x
  3. Step 3: Cross multiply
    241,108.50x = 518,507.25 × 518,507.25
  4. Step 4: Simplify right side
    241,108.50x = 268,849,768,302.56
  5. Step 5: Solve for x
    x = 268,849,768,302.56/241,108.50
  6. Step 6: Final answer
    x = 1,115,057.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.