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Finding the Third Proportional to 104,522 and 229,853

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Solution

The third proportional to 104,522 and 229,853 is: 505,466.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,522 : 229,853 = 229,853 : x
  2. Step 2: Convert to fraction form
    104,522/229,853 = 229,853/x
  3. Step 3: Cross multiply
    104,522x = 229,853 × 229,853
  4. Step 4: Simplify right side
    104,522x = 52,832,401,609
  5. Step 5: Solve for x
    x = 52,832,401,609/104,522
  6. Step 6: Final answer
    x = 505,466.81

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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.