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Finding the Third Proportional to 109,364 and 233,893

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Solution

The third proportional to 109,364 and 233,893 is: 500,218.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,364 : 233,893 = 233,893 : x
  2. Step 2: Convert to fraction form
    109,364/233,893 = 233,893/x
  3. Step 3: Cross multiply
    109,364x = 233,893 × 233,893
  4. Step 4: Simplify right side
    109,364x = 54,705,935,449
  5. Step 5: Solve for x
    x = 54,705,935,449/109,364
  6. Step 6: Final answer
    x = 500,218.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.