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Finding the Third Proportional to 182,772 and 266,382

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Solution

The third proportional to 182,772 and 266,382 is: 388,239.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,772 : 266,382 = 266,382 : x
  2. Step 2: Convert to fraction form
    182,772/266,382 = 266,382/x
  3. Step 3: Cross multiply
    182,772x = 266,382 × 266,382
  4. Step 4: Simplify right side
    182,772x = 70,959,369,924
  5. Step 5: Solve for x
    x = 70,959,369,924/182,772
  6. Step 6: Final answer
    x = 388,239.83

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.