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Finding the Third Proportional to 196,948 and 429,540

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Solution

The third proportional to 196,948 and 429,540 is: 936,818.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,948 : 429,540 = 429,540 : x
  2. Step 2: Convert to fraction form
    196,948/429,540 = 429,540/x
  3. Step 3: Cross multiply
    196,948x = 429,540 × 429,540
  4. Step 4: Simplify right side
    196,948x = 184,504,611,600
  5. Step 5: Solve for x
    x = 184,504,611,600/196,948
  6. Step 6: Final answer
    x = 936,818.91

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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.