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Finding the Third Proportional to 181,179 and 265,527

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Solution

The third proportional to 181,179 and 265,527 is: 389,143.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,179 : 265,527 = 265,527 : x
  2. Step 2: Convert to fraction form
    181,179/265,527 = 265,527/x
  3. Step 3: Cross multiply
    181,179x = 265,527 × 265,527
  4. Step 4: Simplify right side
    181,179x = 70,504,587,729
  5. Step 5: Solve for x
    x = 70,504,587,729/181,179
  6. Step 6: Final answer
    x = 389,143.27

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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.