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Finding the Third Proportional to 151,820 and 226,893

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Solution

The third proportional to 151,820 and 226,893 is: 339,088.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,820 : 226,893 = 226,893 : x
  2. Step 2: Convert to fraction form
    151,820/226,893 = 226,893/x
  3. Step 3: Cross multiply
    151,820x = 226,893 × 226,893
  4. Step 4: Simplify right side
    151,820x = 51,480,433,449
  5. Step 5: Solve for x
    x = 51,480,433,449/151,820
  6. Step 6: Final answer
    x = 339,088.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.