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Finding the Third Proportional to 174,525 and 256,243

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Solution

The third proportional to 174,525 and 256,243 is: 376,223.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,525 : 256,243 = 256,243 : x
  2. Step 2: Convert to fraction form
    174,525/256,243 = 256,243/x
  3. Step 3: Cross multiply
    174,525x = 256,243 × 256,243
  4. Step 4: Simplify right side
    174,525x = 65,660,475,049
  5. Step 5: Solve for x
    x = 65,660,475,049/174,525
  6. Step 6: Final answer
    x = 376,223.89

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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.