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Finding the Third Proportional to 186,600.50 and 399,822.50

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Solution

The third proportional to 186,600.50 and 399,822.50 is: 856,685.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,600.50 : 399,822.50 = 399,822.50 : x
  2. Step 2: Convert to fraction form
    186,600.50/399,822.50 = 399,822.50/x
  3. Step 3: Cross multiply
    186,600.50x = 399,822.50 × 399,822.50
  4. Step 4: Simplify right side
    186,600.50x = 159,858,031,506.25
  5. Step 5: Solve for x
    x = 159,858,031,506.25/186,600.50
  6. Step 6: Final answer
    x = 856,685.98

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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.