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Finding the Third Proportional to 196,035.75 and 424,977.75

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Solution

The third proportional to 196,035.75 and 424,977.75 is: 921,291.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,035.75 : 424,977.75 = 424,977.75 : x
  2. Step 2: Convert to fraction form
    196,035.75/424,977.75 = 424,977.75/x
  3. Step 3: Cross multiply
    196,035.75x = 424,977.75 × 424,977.75
  4. Step 4: Simplify right side
    196,035.75x = 180,606,087,995.06
  5. Step 5: Solve for x
    x = 180,606,087,995.06/196,035.75
  6. Step 6: Final answer
    x = 921,291.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.