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Finding the Third Proportional to 181,188 and 266,457

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Solution

The third proportional to 181,188 and 266,457 is: 391,854.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,188 : 266,457 = 266,457 : x
  2. Step 2: Convert to fraction form
    181,188/266,457 = 266,457/x
  3. Step 3: Cross multiply
    181,188x = 266,457 × 266,457
  4. Step 4: Simplify right side
    181,188x = 70,999,332,849
  5. Step 5: Solve for x
    x = 70,999,332,849/181,188
  6. Step 6: Final answer
    x = 391,854.50

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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.