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Finding the Third Proportional to 196,404.75 and 313,804.13

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Solution

The third proportional to 196,404.75 and 313,804.13 is: 501,378.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,404.75 : 313,804.13 = 313,804.13 : x
  2. Step 2: Convert to fraction form
    196,404.75/313,804.13 = 313,804.13/x
  3. Step 3: Cross multiply
    196,404.75x = 313,804.13 × 313,804.13
  4. Step 4: Simplify right side
    196,404.75x = 98,473,028,867.02
  5. Step 5: Solve for x
    x = 98,473,028,867.02/196,404.75
  6. Step 6: Final answer
    x = 501,378.04

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.