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Finding the Third Proportional to 150,687.56 and 322,347.66

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Solution

The third proportional to 150,687.56 and 322,347.66 is: 689,559.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,687.56 : 322,347.66 = 322,347.66 : x
  2. Step 2: Convert to fraction form
    150,687.56/322,347.66 = 322,347.66/x
  3. Step 3: Cross multiply
    150,687.56x = 322,347.66 × 322,347.66
  4. Step 4: Simplify right side
    150,687.56x = 103,908,011,489.87
  5. Step 5: Solve for x
    x = 103,908,011,489.87/150,687.56
  6. Step 6: Final answer
    x = 689,559.31

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Why These Related Problems?

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