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Finding the Third Proportional to 187,060 and 405,832

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Solution

The third proportional to 187,060 and 405,832 is: 880,464.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,060 : 405,832 = 405,832 : x
  2. Step 2: Convert to fraction form
    187,060/405,832 = 405,832/x
  3. Step 3: Cross multiply
    187,060x = 405,832 × 405,832
  4. Step 4: Simplify right side
    187,060x = 164,699,612,224
  5. Step 5: Solve for x
    x = 164,699,612,224/187,060
  6. Step 6: Final answer
    x = 880,464.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.