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Finding the Third Proportional to 239,151.38 and 524,953.41

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Solution

The third proportional to 239,151.38 and 524,953.41 is: 1,152,308.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,151.38 : 524,953.41 = 524,953.41 : x
  2. Step 2: Convert to fraction form
    239,151.38/524,953.41 = 524,953.41/x
  3. Step 3: Cross multiply
    239,151.38x = 524,953.41 × 524,953.41
  4. Step 4: Simplify right side
    239,151.38x = 275,576,078,733.48
  5. Step 5: Solve for x
    x = 275,576,078,733.48/239,151.38
  6. Step 6: Final answer
    x = 1,152,308.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.