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Finding the Third Proportional to 196,361 and 424,055

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Solution

The third proportional to 196,361 and 424,055 is: 915,775.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,361 : 424,055 = 424,055 : x
  2. Step 2: Convert to fraction form
    196,361/424,055 = 424,055/x
  3. Step 3: Cross multiply
    196,361x = 424,055 × 424,055
  4. Step 4: Simplify right side
    196,361x = 179,822,643,025
  5. Step 5: Solve for x
    x = 179,822,643,025/196,361
  6. Step 6: Final answer
    x = 915,775.75

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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.