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Finding the Third Proportional to 242,109 and 531,994

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Solution

The third proportional to 242,109 and 531,994 is: 1,168,967.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,109 : 531,994 = 531,994 : x
  2. Step 2: Convert to fraction form
    242,109/531,994 = 531,994/x
  3. Step 3: Cross multiply
    242,109x = 531,994 × 531,994
  4. Step 4: Simplify right side
    242,109x = 283,017,616,036
  5. Step 5: Solve for x
    x = 283,017,616,036/242,109
  6. Step 6: Final answer
    x = 1,168,967.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.