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Finding the Third Proportional to 187,609.50 and 401,463

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Solution

The third proportional to 187,609.50 and 401,463 is: 859,085.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,609.50 : 401,463 = 401,463 : x
  2. Step 2: Convert to fraction form
    187,609.50/401,463 = 401,463/x
  3. Step 3: Cross multiply
    187,609.50x = 401,463 × 401,463
  4. Step 4: Simplify right side
    187,609.50x = 161,172,540,369
  5. Step 5: Solve for x
    x = 161,172,540,369/187,609.50
  6. Step 6: Final answer
    x = 859,085.18

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.