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Finding the Third Proportional to 155,162.25 and 237,252.38

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Solution

The third proportional to 155,162.25 and 237,252.38 is: 362,773.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,162.25 : 237,252.38 = 237,252.38 : x
  2. Step 2: Convert to fraction form
    155,162.25/237,252.38 = 237,252.38/x
  3. Step 3: Cross multiply
    155,162.25x = 237,252.38 × 237,252.38
  4. Step 4: Simplify right side
    155,162.25x = 56,288,689,443.14
  5. Step 5: Solve for x
    x = 56,288,689,443.14/155,162.25
  6. Step 6: Final answer
    x = 362,773.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.