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Finding the Third Proportional to 227,145.52 and 356,374.05

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Solution

The third proportional to 227,145.52 and 356,374.05 is: 559,123.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,145.52 : 356,374.05 = 356,374.05 : x
  2. Step 2: Convert to fraction form
    227,145.52/356,374.05 = 356,374.05/x
  3. Step 3: Cross multiply
    227,145.52x = 356,374.05 × 356,374.05
  4. Step 4: Simplify right side
    227,145.52x = 127,002,466,854.41
  5. Step 5: Solve for x
    x = 127,002,466,854.41/227,145.52
  6. Step 6: Final answer
    x = 559,123.81

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.