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Finding the Third Proportional to 152,211 and 241,008

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Solution

The third proportional to 152,211 and 241,008 is: 381,607.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,211 : 241,008 = 241,008 : x
  2. Step 2: Convert to fraction form
    152,211/241,008 = 241,008/x
  3. Step 3: Cross multiply
    152,211x = 241,008 × 241,008
  4. Step 4: Simplify right side
    152,211x = 58,084,856,064
  5. Step 5: Solve for x
    x = 58,084,856,064/152,211
  6. Step 6: Final answer
    x = 381,607.48

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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.