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Finding the Third Proportional to 150,263.38 and 234,011.50

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Solution

The third proportional to 150,263.38 and 234,011.50 is: 364,435.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,263.38 : 234,011.50 = 234,011.50 : x
  2. Step 2: Convert to fraction form
    150,263.38/234,011.50 = 234,011.50/x
  3. Step 3: Cross multiply
    150,263.38x = 234,011.50 × 234,011.50
  4. Step 4: Simplify right side
    150,263.38x = 54,761,382,132.25
  5. Step 5: Solve for x
    x = 54,761,382,132.25/150,263.38
  6. Step 6: Final answer
    x = 364,435.99

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.