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Finding the Third Proportional to 152,213 and 241,011

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Solution

The third proportional to 152,213 and 241,011 is: 381,611.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,213 : 241,011 = 241,011 : x
  2. Step 2: Convert to fraction form
    152,213/241,011 = 241,011/x
  3. Step 3: Cross multiply
    152,213x = 241,011 × 241,011
  4. Step 4: Simplify right side
    152,213x = 58,086,302,121
  5. Step 5: Solve for x
    x = 58,086,302,121/152,213
  6. Step 6: Final answer
    x = 381,611.97

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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.