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Finding the Third Proportional to 150,561.28 and 322,855.88

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Solution

The third proportional to 150,561.28 and 322,855.88 is: 692,315.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,561.28 : 322,855.88 = 322,855.88 : x
  2. Step 2: Convert to fraction form
    150,561.28/322,855.88 = 322,855.88/x
  3. Step 3: Cross multiply
    150,561.28x = 322,855.88 × 322,855.88
  4. Step 4: Simplify right side
    150,561.28x = 104,235,916,022.02
  5. Step 5: Solve for x
    x = 104,235,916,022.02/150,561.28
  6. Step 6: Final answer
    x = 692,315.55

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.