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Finding the Third Proportional to 146,475.84 and 221,289.47

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Solution

The third proportional to 146,475.84 and 221,289.47 is: 334,314.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,475.84 : 221,289.47 = 221,289.47 : x
  2. Step 2: Convert to fraction form
    146,475.84/221,289.47 = 221,289.47/x
  3. Step 3: Cross multiply
    146,475.84x = 221,289.47 × 221,289.47
  4. Step 4: Simplify right side
    146,475.84x = 48,969,028,979.66
  5. Step 5: Solve for x
    x = 48,969,028,979.66/146,475.84
  6. Step 6: Final answer
    x = 334,314.71

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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.