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Finding the Third Proportional to 196,117 and 423,337

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Solution

The third proportional to 196,117 and 423,337 is: 913,812.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,117 : 423,337 = 423,337 : x
  2. Step 2: Convert to fraction form
    196,117/423,337 = 423,337/x
  3. Step 3: Cross multiply
    196,117x = 423,337 × 423,337
  4. Step 4: Simplify right side
    196,117x = 179,214,215,569
  5. Step 5: Solve for x
    x = 179,214,215,569/196,117
  6. Step 6: Final answer
    x = 913,812.75

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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.