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Finding the Third Proportional to 196,801.31 and 313,302.94

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Solution

The third proportional to 196,801.31 and 313,302.94 is: 498,770.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,801.31 : 313,302.94 = 313,302.94 : x
  2. Step 2: Convert to fraction form
    196,801.31/313,302.94 = 313,302.94/x
  3. Step 3: Cross multiply
    196,801.31x = 313,302.94 × 313,302.94
  4. Step 4: Simplify right side
    196,801.31x = 98,158,730,646.13
  5. Step 5: Solve for x
    x = 98,158,730,646.13/196,801.31
  6. Step 6: Final answer
    x = 498,770.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.