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Finding the Third Proportional to 174,776 and 382,256

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Solution

The third proportional to 174,776 and 382,256 is: 836,039.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,776 : 382,256 = 382,256 : x
  2. Step 2: Convert to fraction form
    174,776/382,256 = 382,256/x
  3. Step 3: Cross multiply
    174,776x = 382,256 × 382,256
  4. Step 4: Simplify right side
    174,776x = 146,119,649,536
  5. Step 5: Solve for x
    x = 146,119,649,536/174,776
  6. Step 6: Final answer
    x = 836,039.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.