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Finding the Third Proportional to 106,897 and 230,924

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Solution

The third proportional to 106,897 and 230,924 is: 498,853.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,897 : 230,924 = 230,924 : x
  2. Step 2: Convert to fraction form
    106,897/230,924 = 230,924/x
  3. Step 3: Cross multiply
    106,897x = 230,924 × 230,924
  4. Step 4: Simplify right side
    106,897x = 53,325,893,776
  5. Step 5: Solve for x
    x = 53,325,893,776/106,897
  6. Step 6: Final answer
    x = 498,853.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.