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Finding the Third Proportional to 150,320 and 237,848

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Solution

The third proportional to 150,320 and 237,848 is: 376,341.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,320 : 237,848 = 237,848 : x
  2. Step 2: Convert to fraction form
    150,320/237,848 = 237,848/x
  3. Step 3: Cross multiply
    150,320x = 237,848 × 237,848
  4. Step 4: Simplify right side
    150,320x = 56,571,671,104
  5. Step 5: Solve for x
    x = 56,571,671,104/150,320
  6. Step 6: Final answer
    x = 376,341.61

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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.