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Finding the Third Proportional to 150,458 and 238,017

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Solution

The third proportional to 150,458 and 238,017 is: 376,530.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,458 : 238,017 = 238,017 : x
  2. Step 2: Convert to fraction form
    150,458/238,017 = 238,017/x
  3. Step 3: Cross multiply
    150,458x = 238,017 × 238,017
  4. Step 4: Simplify right side
    150,458x = 56,652,092,289
  5. Step 5: Solve for x
    x = 56,652,092,289/150,458
  6. Step 6: Final answer
    x = 376,530.94

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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.