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Finding the Third Proportional to 150,054 and 237,609

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Solution

The third proportional to 150,054 and 237,609 is: 376,251.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,054 : 237,609 = 237,609 : x
  2. Step 2: Convert to fraction form
    150,054/237,609 = 237,609/x
  3. Step 3: Cross multiply
    150,054x = 237,609 × 237,609
  4. Step 4: Simplify right side
    150,054x = 56,458,036,881
  5. Step 5: Solve for x
    x = 56,458,036,881/150,054
  6. Step 6: Final answer
    x = 376,251.46

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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.