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Finding the Third Proportional to 263,226 and 375,151

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Solution

The third proportional to 263,226 and 375,151 is: 534,667.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,226 : 375,151 = 375,151 : x
  2. Step 2: Convert to fraction form
    263,226/375,151 = 375,151/x
  3. Step 3: Cross multiply
    263,226x = 375,151 × 375,151
  4. Step 4: Simplify right side
    263,226x = 140,738,272,801
  5. Step 5: Solve for x
    x = 140,738,272,801/263,226
  6. Step 6: Final answer
    x = 534,667.06

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.