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Finding the Third Proportional to 174,961.13 and 256,700.25

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Solution

The third proportional to 174,961.13 and 256,700.25 is: 376,626.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,961.13 : 256,700.25 = 256,700.25 : x
  2. Step 2: Convert to fraction form
    174,961.13/256,700.25 = 256,700.25/x
  3. Step 3: Cross multiply
    174,961.13x = 256,700.25 × 256,700.25
  4. Step 4: Simplify right side
    174,961.13x = 65,895,018,350.06
  5. Step 5: Solve for x
    x = 65,895,018,350.06/174,961.13
  6. Step 6: Final answer
    x = 376,626.63

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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.