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Finding the Third Proportional to 199,197 and 429,498

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Solution

The third proportional to 199,197 and 429,498 is: 926,060.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,197 : 429,498 = 429,498 : x
  2. Step 2: Convert to fraction form
    199,197/429,498 = 429,498/x
  3. Step 3: Cross multiply
    199,197x = 429,498 × 429,498
  4. Step 4: Simplify right side
    199,197x = 184,468,532,004
  5. Step 5: Solve for x
    x = 184,468,532,004/199,197
  6. Step 6: Final answer
    x = 926,060.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.