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Finding the Third Proportional to 196,953.75 and 420,150.38

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Solution

The third proportional to 196,953.75 and 420,150.38 is: 896,283.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,953.75 : 420,150.38 = 420,150.38 : x
  2. Step 2: Convert to fraction form
    196,953.75/420,150.38 = 420,150.38/x
  3. Step 3: Cross multiply
    196,953.75x = 420,150.38 × 420,150.38
  4. Step 4: Simplify right side
    196,953.75x = 176,526,337,612.64
  5. Step 5: Solve for x
    x = 176,526,337,612.64/196,953.75
  6. Step 6: Final answer
    x = 896,283.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.