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Finding the Third Proportional to 150,454 and 238,011

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Solution

The third proportional to 150,454 and 238,011 is: 376,521.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,454 : 238,011 = 238,011 : x
  2. Step 2: Convert to fraction form
    150,454/238,011 = 238,011/x
  3. Step 3: Cross multiply
    150,454x = 238,011 × 238,011
  4. Step 4: Simplify right side
    150,454x = 56,649,236,121
  5. Step 5: Solve for x
    x = 56,649,236,121/150,454
  6. Step 6: Final answer
    x = 376,521.97

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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.