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Finding the Third Proportional to 174,868.88 and 256,505.06

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Solution

The third proportional to 174,868.88 and 256,505.06 is: 376,252.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,868.88 : 256,505.06 = 256,505.06 : x
  2. Step 2: Convert to fraction form
    174,868.88/256,505.06 = 256,505.06/x
  3. Step 3: Cross multiply
    174,868.88x = 256,505.06 × 256,505.06
  4. Step 4: Simplify right side
    174,868.88x = 65,794,847,088.13
  5. Step 5: Solve for x
    x = 65,794,847,088.13/174,868.88
  6. Step 6: Final answer
    x = 376,252.48

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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.