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Finding the Third Proportional to 196,101 and 423,306

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Solution

The third proportional to 196,101 and 423,306 is: 913,753.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,101 : 423,306 = 423,306 : x
  2. Step 2: Convert to fraction form
    196,101/423,306 = 423,306/x
  3. Step 3: Cross multiply
    196,101x = 423,306 × 423,306
  4. Step 4: Simplify right side
    196,101x = 179,187,969,636
  5. Step 5: Solve for x
    x = 179,187,969,636/196,101
  6. Step 6: Final answer
    x = 913,753.47

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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.