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Finding the Third Proportional to 196,840.13 and 406,801.13

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Solution

The third proportional to 196,840.13 and 406,801.13 is: 840,718.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,840.13 : 406,801.13 = 406,801.13 : x
  2. Step 2: Convert to fraction form
    196,840.13/406,801.13 = 406,801.13/x
  3. Step 3: Cross multiply
    196,840.13x = 406,801.13 × 406,801.13
  4. Step 4: Simplify right side
    196,840.13x = 165,487,155,301.27
  5. Step 5: Solve for x
    x = 165,487,155,301.27/196,840.13
  6. Step 6: Final answer
    x = 840,718.61

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.