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Finding the Third Proportional to 234,164.25 and 507,697.88

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Solution

The third proportional to 234,164.25 and 507,697.88 is: 1,100,753.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,164.25 : 507,697.88 = 507,697.88 : x
  2. Step 2: Convert to fraction form
    234,164.25/507,697.88 = 507,697.88/x
  3. Step 3: Cross multiply
    234,164.25x = 507,697.88 × 507,697.88
  4. Step 4: Simplify right side
    234,164.25x = 257,757,132,279.52
  5. Step 5: Solve for x
    x = 257,757,132,279.52/234,164.25
  6. Step 6: Final answer
    x = 1,100,753.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.