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Finding the Third Proportional to 177,272 and 266,034

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Solution

The third proportional to 177,272 and 266,034 is: 399,240.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,272 : 266,034 = 266,034 : x
  2. Step 2: Convert to fraction form
    177,272/266,034 = 266,034/x
  3. Step 3: Cross multiply
    177,272x = 266,034 × 266,034
  4. Step 4: Simplify right side
    177,272x = 70,774,089,156
  5. Step 5: Solve for x
    x = 70,774,089,156/177,272
  6. Step 6: Final answer
    x = 399,240.09

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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.