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Finding the Third Proportional to 174,231 and 256,243.50

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Solution

The third proportional to 174,231 and 256,243.50 is: 376,860.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,231 : 256,243.50 = 256,243.50 : x
  2. Step 2: Convert to fraction form
    174,231/256,243.50 = 256,243.50/x
  3. Step 3: Cross multiply
    174,231x = 256,243.50 × 256,243.50
  4. Step 4: Simplify right side
    174,231x = 65,660,731,292.25
  5. Step 5: Solve for x
    x = 65,660,731,292.25/174,231
  6. Step 6: Final answer
    x = 376,860.21

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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.