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Finding the Third Proportional to 174,282 and 269,253

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Solution

The third proportional to 174,282 and 269,253 is: 415,976.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,282 : 269,253 = 269,253 : x
  2. Step 2: Convert to fraction form
    174,282/269,253 = 269,253/x
  3. Step 3: Cross multiply
    174,282x = 269,253 × 269,253
  4. Step 4: Simplify right side
    174,282x = 72,497,178,009
  5. Step 5: Solve for x
    x = 72,497,178,009/174,282
  6. Step 6: Final answer
    x = 415,976.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.