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Finding the Third Proportional to 207,636.75 and 296,920.69

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Solution

The third proportional to 207,636.75 and 296,920.69 is: 424,596.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,636.75 : 296,920.69 = 296,920.69 : x
  2. Step 2: Convert to fraction form
    207,636.75/296,920.69 = 296,920.69/x
  3. Step 3: Cross multiply
    207,636.75x = 296,920.69 × 296,920.69
  4. Step 4: Simplify right side
    207,636.75x = 88,161,894,665.47
  5. Step 5: Solve for x
    x = 88,161,894,665.47/207,636.75
  6. Step 6: Final answer
    x = 424,596.78

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.