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Finding the Third Proportional to 110,929 and 242,850

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Solution

The third proportional to 110,929 and 242,850 is: 531,656.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,929 : 242,850 = 242,850 : x
  2. Step 2: Convert to fraction form
    110,929/242,850 = 242,850/x
  3. Step 3: Cross multiply
    110,929x = 242,850 × 242,850
  4. Step 4: Simplify right side
    110,929x = 58,976,122,500
  5. Step 5: Solve for x
    x = 58,976,122,500/110,929
  6. Step 6: Final answer
    x = 531,656.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.