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Finding the Third Proportional to 181,527.75 and 266,459.63

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Solution

The third proportional to 181,527.75 and 266,459.63 is: 391,128.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,527.75 : 266,459.63 = 266,459.63 : x
  2. Step 2: Convert to fraction form
    181,527.75/266,459.63 = 266,459.63/x
  3. Step 3: Cross multiply
    181,527.75x = 266,459.63 × 266,459.63
  4. Step 4: Simplify right side
    181,527.75x = 71,000,731,755.14
  5. Step 5: Solve for x
    x = 71,000,731,755.14/181,527.75
  6. Step 6: Final answer
    x = 391,128.80

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