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Finding the Third Proportional to 104,281 and 229,298

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Solution

The third proportional to 104,281 and 229,298 is: 504,191.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,281 : 229,298 = 229,298 : x
  2. Step 2: Convert to fraction form
    104,281/229,298 = 229,298/x
  3. Step 3: Cross multiply
    104,281x = 229,298 × 229,298
  4. Step 4: Simplify right side
    104,281x = 52,577,572,804
  5. Step 5: Solve for x
    x = 52,577,572,804/104,281
  6. Step 6: Final answer
    x = 504,191.30

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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.