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Finding the Third Proportional to 196,822.31 and 295,182.19

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Solution

The third proportional to 196,822.31 and 295,182.19 is: 442,696.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,822.31 : 295,182.19 = 295,182.19 : x
  2. Step 2: Convert to fraction form
    196,822.31/295,182.19 = 295,182.19/x
  3. Step 3: Cross multiply
    196,822.31x = 295,182.19 × 295,182.19
  4. Step 4: Simplify right side
    196,822.31x = 87,132,523,817.29
  5. Step 5: Solve for x
    x = 87,132,523,817.29/196,822.31
  6. Step 6: Final answer
    x = 442,696.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.