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Finding the Third Proportional to 196,798.36 and 313,297.88

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Solution

The third proportional to 196,798.36 and 313,297.88 is: 498,762.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,798.36 : 313,297.88 = 313,297.88 : x
  2. Step 2: Convert to fraction form
    196,798.36/313,297.88 = 313,297.88/x
  3. Step 3: Cross multiply
    196,798.36x = 313,297.88 × 313,297.88
  4. Step 4: Simplify right side
    196,798.36x = 98,155,558,479.52
  5. Step 5: Solve for x
    x = 98,155,558,479.52/196,798.36
  6. Step 6: Final answer
    x = 498,762.08

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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.