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Finding the Third Proportional to 196,868.25 and 429,822

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Solution

The third proportional to 196,868.25 and 429,822 is: 938,429.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,868.25 : 429,822 = 429,822 : x
  2. Step 2: Convert to fraction form
    196,868.25/429,822 = 429,822/x
  3. Step 3: Cross multiply
    196,868.25x = 429,822 × 429,822
  4. Step 4: Simplify right side
    196,868.25x = 184,746,951,684
  5. Step 5: Solve for x
    x = 184,746,951,684/196,868.25
  6. Step 6: Final answer
    x = 938,429.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.