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Finding the Third Proportional to 150,759 and 234,440

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Solution

The third proportional to 150,759 and 234,440 is: 364,569.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,759 : 234,440 = 234,440 : x
  2. Step 2: Convert to fraction form
    150,759/234,440 = 234,440/x
  3. Step 3: Cross multiply
    150,759x = 234,440 × 234,440
  4. Step 4: Simplify right side
    150,759x = 54,962,113,600
  5. Step 5: Solve for x
    x = 54,962,113,600/150,759
  6. Step 6: Final answer
    x = 364,569.37

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Why These Related Problems?

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