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Finding the Third Proportional to 174,238.88 and 256,254.75

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Solution

The third proportional to 174,238.88 and 256,254.75 is: 376,876.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,238.88 : 256,254.75 = 256,254.75 : x
  2. Step 2: Convert to fraction form
    174,238.88/256,254.75 = 256,254.75/x
  3. Step 3: Cross multiply
    174,238.88x = 256,254.75 × 256,254.75
  4. Step 4: Simplify right side
    174,238.88x = 65,666,496,897.56
  5. Step 5: Solve for x
    x = 65,666,496,897.56/174,238.88
  6. Step 6: Final answer
    x = 376,876.27

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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.