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Finding the Third Proportional to 181,162 and 266,203.50

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Solution

The third proportional to 181,162 and 266,203.50 is: 391,165.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,162 : 266,203.50 = 266,203.50 : x
  2. Step 2: Convert to fraction form
    181,162/266,203.50 = 266,203.50/x
  3. Step 3: Cross multiply
    181,162x = 266,203.50 × 266,203.50
  4. Step 4: Simplify right side
    181,162x = 70,864,303,412.25
  5. Step 5: Solve for x
    x = 70,864,303,412.25/181,162
  6. Step 6: Final answer
    x = 391,165.38

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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.