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Finding the Third Proportional to 146,405.13 and 221,452.97

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Solution

The third proportional to 146,405.13 and 221,452.97 is: 334,970.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,405.13 : 221,452.97 = 221,452.97 : x
  2. Step 2: Convert to fraction form
    146,405.13/221,452.97 = 221,452.97/x
  3. Step 3: Cross multiply
    146,405.13x = 221,452.97 × 221,452.97
  4. Step 4: Simplify right side
    146,405.13x = 49,041,418,665.76
  5. Step 5: Solve for x
    x = 49,041,418,665.76/146,405.13
  6. Step 6: Final answer
    x = 334,970.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.