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Finding the Third Proportional to 104,569.50 and 229,641

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Solution

The third proportional to 104,569.50 and 229,641 is: 504,305.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,569.50 : 229,641 = 229,641 : x
  2. Step 2: Convert to fraction form
    104,569.50/229,641 = 229,641/x
  3. Step 3: Cross multiply
    104,569.50x = 229,641 × 229,641
  4. Step 4: Simplify right side
    104,569.50x = 52,734,988,881
  5. Step 5: Solve for x
    x = 52,734,988,881/104,569.50
  6. Step 6: Final answer
    x = 504,305.64

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