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Finding the Third Proportional to 174,522.94 and 256,240.13

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Solution

The third proportional to 174,522.94 and 256,240.13 is: 376,219.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,522.94 : 256,240.13 = 256,240.13 : x
  2. Step 2: Convert to fraction form
    174,522.94/256,240.13 = 256,240.13/x
  3. Step 3: Cross multiply
    174,522.94x = 256,240.13 × 256,240.13
  4. Step 4: Simplify right side
    174,522.94x = 65,659,001,660.02
  5. Step 5: Solve for x
    x = 65,659,001,660.02/174,522.94
  6. Step 6: Final answer
    x = 376,219.90

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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.