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Finding the Third Proportional to 181,143.84 and 266,176.13

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Solution

The third proportional to 181,143.84 and 266,176.13 is: 391,124.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,143.84 : 266,176.13 = 266,176.13 : x
  2. Step 2: Convert to fraction form
    181,143.84/266,176.13 = 266,176.13/x
  3. Step 3: Cross multiply
    181,143.84x = 266,176.13 × 266,176.13
  4. Step 4: Simplify right side
    181,143.84x = 70,849,729,520.02
  5. Step 5: Solve for x
    x = 70,849,729,520.02/181,143.84
  6. Step 6: Final answer
    x = 391,124.14

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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.