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Finding the Third Proportional to 177,581 and 264,934

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Solution

The third proportional to 177,581 and 264,934 is: 395,256.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,581 : 264,934 = 264,934 : x
  2. Step 2: Convert to fraction form
    177,581/264,934 = 264,934/x
  3. Step 3: Cross multiply
    177,581x = 264,934 × 264,934
  4. Step 4: Simplify right side
    177,581x = 70,190,024,356
  5. Step 5: Solve for x
    x = 70,190,024,356/177,581
  6. Step 6: Final answer
    x = 395,256.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.