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Finding the Third Proportional to 185,658 and 381,152

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Solution

The third proportional to 185,658 and 381,152 is: 782,497.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,658 : 381,152 = 381,152 : x
  2. Step 2: Convert to fraction form
    185,658/381,152 = 381,152/x
  3. Step 3: Cross multiply
    185,658x = 381,152 × 381,152
  4. Step 4: Simplify right side
    185,658x = 145,276,847,104
  5. Step 5: Solve for x
    x = 145,276,847,104/185,658
  6. Step 6: Final answer
    x = 782,497.10

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.