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Finding the Third Proportional to 199,106 and 429,880

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Solution

The third proportional to 199,106 and 429,880 is: 928,132.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,106 : 429,880 = 429,880 : x
  2. Step 2: Convert to fraction form
    199,106/429,880 = 429,880/x
  3. Step 3: Cross multiply
    199,106x = 429,880 × 429,880
  4. Step 4: Simplify right side
    199,106x = 184,796,814,400
  5. Step 5: Solve for x
    x = 184,796,814,400/199,106
  6. Step 6: Final answer
    x = 928,132.83

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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.