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Finding the Third Proportional to 150,390 and 237,964.50

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Solution

The third proportional to 150,390 and 237,964.50 is: 376,535.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,390 : 237,964.50 = 237,964.50 : x
  2. Step 2: Convert to fraction form
    150,390/237,964.50 = 237,964.50/x
  3. Step 3: Cross multiply
    150,390x = 237,964.50 × 237,964.50
  4. Step 4: Simplify right side
    150,390x = 56,627,103,260.25
  5. Step 5: Solve for x
    x = 56,627,103,260.25/150,390
  6. Step 6: Final answer
    x = 376,535.03

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.