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Finding the Third Proportional to 237,773.81 and 510,129.56

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Solution

The third proportional to 237,773.81 and 510,129.56 is: 1,094,452.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,773.81 : 510,129.56 = 510,129.56 : x
  2. Step 2: Convert to fraction form
    237,773.81/510,129.56 = 510,129.56/x
  3. Step 3: Cross multiply
    237,773.81x = 510,129.56 × 510,129.56
  4. Step 4: Simplify right side
    237,773.81x = 260,232,170,536.44
  5. Step 5: Solve for x
    x = 260,232,170,536.44/237,773.81
  6. Step 6: Final answer
    x = 1,094,452.61

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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.