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Finding the Third Proportional to 196,083.91 and 415,712.25

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Solution

The third proportional to 196,083.91 and 415,712.25 is: 881,340.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,083.91 : 415,712.25 = 415,712.25 : x
  2. Step 2: Convert to fraction form
    196,083.91/415,712.25 = 415,712.25/x
  3. Step 3: Cross multiply
    196,083.91x = 415,712.25 × 415,712.25
  4. Step 4: Simplify right side
    196,083.91x = 172,816,674,800.06
  5. Step 5: Solve for x
    x = 172,816,674,800.06/196,083.91
  6. Step 6: Final answer
    x = 881,340.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.