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Finding the Third Proportional to 174,244 and 256,261

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Solution

The third proportional to 174,244 and 256,261 is: 376,883.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,244 : 256,261 = 256,261 : x
  2. Step 2: Convert to fraction form
    174,244/256,261 = 256,261/x
  3. Step 3: Cross multiply
    174,244x = 256,261 × 256,261
  4. Step 4: Simplify right side
    174,244x = 65,669,700,121
  5. Step 5: Solve for x
    x = 65,669,700,121/174,244
  6. Step 6: Final answer
    x = 376,883.57

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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.