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Finding the Third Proportional to 181,176 and 266,436

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Solution

The third proportional to 181,176 and 266,436 is: 391,818.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,176 : 266,436 = 266,436 : x
  2. Step 2: Convert to fraction form
    181,176/266,436 = 266,436/x
  3. Step 3: Cross multiply
    181,176x = 266,436 × 266,436
  4. Step 4: Simplify right side
    181,176x = 70,988,142,096
  5. Step 5: Solve for x
    x = 70,988,142,096/181,176
  6. Step 6: Final answer
    x = 391,818.69

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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.