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Finding the Third Proportional to 196,103 and 423,310

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Solution

The third proportional to 196,103 and 423,310 is: 913,761.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,103 : 423,310 = 423,310 : x
  2. Step 2: Convert to fraction form
    196,103/423,310 = 423,310/x
  3. Step 3: Cross multiply
    196,103x = 423,310 × 423,310
  4. Step 4: Simplify right side
    196,103x = 179,191,356,100
  5. Step 5: Solve for x
    x = 179,191,356,100/196,103
  6. Step 6: Final answer
    x = 913,761.42

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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.