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Finding the Third Proportional to 181,050.75 and 266,028.75

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Solution

The third proportional to 181,050.75 and 266,028.75 is: 390,892.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,050.75 : 266,028.75 = 266,028.75 : x
  2. Step 2: Convert to fraction form
    181,050.75/266,028.75 = 266,028.75/x
  3. Step 3: Cross multiply
    181,050.75x = 266,028.75 × 266,028.75
  4. Step 4: Simplify right side
    181,050.75x = 70,771,295,826.56
  5. Step 5: Solve for x
    x = 70,771,295,826.56/181,050.75
  6. Step 6: Final answer
    x = 390,892.03

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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.