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Finding the Third Proportional to 177,304 and 266,083

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Solution

The third proportional to 177,304 and 266,083 is: 399,315.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,304 : 266,083 = 266,083 : x
  2. Step 2: Convert to fraction form
    177,304/266,083 = 266,083/x
  3. Step 3: Cross multiply
    177,304x = 266,083 × 266,083
  4. Step 4: Simplify right side
    177,304x = 70,800,162,889
  5. Step 5: Solve for x
    x = 70,800,162,889/177,304
  6. Step 6: Final answer
    x = 399,315.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.