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Finding the Third Proportional to 181,248 and 266,324

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Solution

The third proportional to 181,248 and 266,324 is: 391,333.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,248 : 266,324 = 266,324 : x
  2. Step 2: Convert to fraction form
    181,248/266,324 = 266,324/x
  3. Step 3: Cross multiply
    181,248x = 266,324 × 266,324
  4. Step 4: Simplify right side
    181,248x = 70,928,472,976
  5. Step 5: Solve for x
    x = 70,928,472,976/181,248
  6. Step 6: Final answer
    x = 391,333.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.