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Finding the Third Proportional to 196,757 and 430,216

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Solution

The third proportional to 196,757 and 430,216 is: 940,682.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,757 : 430,216 = 430,216 : x
  2. Step 2: Convert to fraction form
    196,757/430,216 = 430,216/x
  3. Step 3: Cross multiply
    196,757x = 430,216 × 430,216
  4. Step 4: Simplify right side
    196,757x = 185,085,806,656
  5. Step 5: Solve for x
    x = 185,085,806,656/196,757
  6. Step 6: Final answer
    x = 940,682.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.