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Finding the Third Proportional to 199,844 and 429,334

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Solution

The third proportional to 199,844 and 429,334 is: 922,357.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,844 : 429,334 = 429,334 : x
  2. Step 2: Convert to fraction form
    199,844/429,334 = 429,334/x
  3. Step 3: Cross multiply
    199,844x = 429,334 × 429,334
  4. Step 4: Simplify right side
    199,844x = 184,327,683,556
  5. Step 5: Solve for x
    x = 184,327,683,556/199,844
  6. Step 6: Final answer
    x = 922,357.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.