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Finding the Third Proportional to 174,847 and 256,534

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Solution

The third proportional to 174,847 and 256,534 is: 376,384.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,847 : 256,534 = 256,534 : x
  2. Step 2: Convert to fraction form
    174,847/256,534 = 256,534/x
  3. Step 3: Cross multiply
    174,847x = 256,534 × 256,534
  4. Step 4: Simplify right side
    174,847x = 65,809,693,156
  5. Step 5: Solve for x
    x = 65,809,693,156/174,847
  6. Step 6: Final answer
    x = 376,384.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.