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Finding the Third Proportional to 174,885 and 256,596

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Solution

The third proportional to 174,885 and 256,596 is: 376,484.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,885 : 256,596 = 256,596 : x
  2. Step 2: Convert to fraction form
    174,885/256,596 = 256,596/x
  3. Step 3: Cross multiply
    174,885x = 256,596 × 256,596
  4. Step 4: Simplify right side
    174,885x = 65,841,507,216
  5. Step 5: Solve for x
    x = 65,841,507,216/174,885
  6. Step 6: Final answer
    x = 376,484.59

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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.