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Finding the Third Proportional to 150,534.56 and 221,643.56

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Solution

The third proportional to 150,534.56 and 221,643.56 is: 326,342.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,534.56 : 221,643.56 = 221,643.56 : x
  2. Step 2: Convert to fraction form
    150,534.56/221,643.56 = 221,643.56/x
  3. Step 3: Cross multiply
    150,534.56x = 221,643.56 × 221,643.56
  4. Step 4: Simplify right side
    150,534.56x = 49,125,868,797.69
  5. Step 5: Solve for x
    x = 49,125,868,797.69/150,534.56
  6. Step 6: Final answer
    x = 326,342.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.