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Finding the Third Proportional to 279,937.50 and 425,090.25

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Solution

The third proportional to 279,937.50 and 425,090.25 is: 645,507.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,937.50 : 425,090.25 = 425,090.25 : x
  2. Step 2: Convert to fraction form
    279,937.50/425,090.25 = 425,090.25/x
  3. Step 3: Cross multiply
    279,937.50x = 425,090.25 × 425,090.25
  4. Step 4: Simplify right side
    279,937.50x = 180,701,720,645.06
  5. Step 5: Solve for x
    x = 180,701,720,645.06/279,937.50
  6. Step 6: Final answer
    x = 645,507.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.