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Finding the Third Proportional to 85,044.50 and 186,248

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Solution

The third proportional to 85,044.50 and 186,248 is: 407,884.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,044.50 : 186,248 = 186,248 : x
  2. Step 2: Convert to fraction form
    85,044.50/186,248 = 186,248/x
  3. Step 3: Cross multiply
    85,044.50x = 186,248 × 186,248
  4. Step 4: Simplify right side
    85,044.50x = 34,688,317,504
  5. Step 5: Solve for x
    x = 34,688,317,504/85,044.50
  6. Step 6: Final answer
    x = 407,884.31

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.