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Finding the Third Proportional to 187,059 and 411,486.50

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Solution

The third proportional to 187,059 and 411,486.50 is: 905,175.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,059 : 411,486.50 = 411,486.50 : x
  2. Step 2: Convert to fraction form
    187,059/411,486.50 = 411,486.50/x
  3. Step 3: Cross multiply
    187,059x = 411,486.50 × 411,486.50
  4. Step 4: Simplify right side
    187,059x = 169,321,139,682.25
  5. Step 5: Solve for x
    x = 169,321,139,682.25/187,059
  6. Step 6: Final answer
    x = 905,175.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.