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Finding the Third Proportional to 150,052 and 237,606

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Solution

The third proportional to 150,052 and 237,606 is: 376,246.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,052 : 237,606 = 237,606 : x
  2. Step 2: Convert to fraction form
    150,052/237,606 = 237,606/x
  3. Step 3: Cross multiply
    150,052x = 237,606 × 237,606
  4. Step 4: Simplify right side
    150,052x = 56,456,611,236
  5. Step 5: Solve for x
    x = 56,456,611,236/150,052
  6. Step 6: Final answer
    x = 376,246.98

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Why These Related Problems?

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