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Finding the Third Proportional to 196,508.25 and 424,392.75

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Solution

The third proportional to 196,508.25 and 424,392.75 is: 916,547.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,508.25 : 424,392.75 = 424,392.75 : x
  2. Step 2: Convert to fraction form
    196,508.25/424,392.75 = 424,392.75/x
  3. Step 3: Cross multiply
    196,508.25x = 424,392.75 × 424,392.75
  4. Step 4: Simplify right side
    196,508.25x = 180,109,206,252.56
  5. Step 5: Solve for x
    x = 180,109,206,252.56/196,508.25
  6. Step 6: Final answer
    x = 916,547.81

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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.