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Finding the Third Proportional to 196,425 and 424,176.75

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Solution

The third proportional to 196,425 and 424,176.75 is: 916,003.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,425 : 424,176.75 = 424,176.75 : x
  2. Step 2: Convert to fraction form
    196,425/424,176.75 = 424,176.75/x
  3. Step 3: Cross multiply
    196,425x = 424,176.75 × 424,176.75
  4. Step 4: Simplify right side
    196,425x = 179,925,915,240.56
  5. Step 5: Solve for x
    x = 179,925,915,240.56/196,425
  6. Step 6: Final answer
    x = 916,003.13

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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.