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Finding the Third Proportional to 104,962 and 226,506

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Solution

The third proportional to 104,962 and 226,506 is: 488,795.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,962 : 226,506 = 226,506 : x
  2. Step 2: Convert to fraction form
    104,962/226,506 = 226,506/x
  3. Step 3: Cross multiply
    104,962x = 226,506 × 226,506
  4. Step 4: Simplify right side
    104,962x = 51,304,968,036
  5. Step 5: Solve for x
    x = 51,304,968,036/104,962
  6. Step 6: Final answer
    x = 488,795.64

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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.