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Finding the Third Proportional to 196,115 and 423,334

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Solution

The third proportional to 196,115 and 423,334 is: 913,809.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,115 : 423,334 = 423,334 : x
  2. Step 2: Convert to fraction form
    196,115/423,334 = 423,334/x
  3. Step 3: Cross multiply
    196,115x = 423,334 × 423,334
  4. Step 4: Simplify right side
    196,115x = 179,211,675,556
  5. Step 5: Solve for x
    x = 179,211,675,556/196,115
  6. Step 6: Final answer
    x = 913,809.12

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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.