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Finding the Third Proportional to 177,321 and 265,354

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Solution

The third proportional to 177,321 and 265,354 is: 397,091.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,321 : 265,354 = 265,354 : x
  2. Step 2: Convert to fraction form
    177,321/265,354 = 265,354/x
  3. Step 3: Cross multiply
    177,321x = 265,354 × 265,354
  4. Step 4: Simplify right side
    177,321x = 70,412,745,316
  5. Step 5: Solve for x
    x = 70,412,745,316/177,321
  6. Step 6: Final answer
    x = 397,091.97

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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.