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Finding the Third Proportional to 207,636.75 and 296,917.88

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Solution

The third proportional to 207,636.75 and 296,917.88 is: 424,588.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,636.75 : 296,917.88 = 296,917.88 : x
  2. Step 2: Convert to fraction form
    207,636.75/296,917.88 = 296,917.88/x
  3. Step 3: Cross multiply
    207,636.75x = 296,917.88 × 296,917.88
  4. Step 4: Simplify right side
    207,636.75x = 88,160,224,494.52
  5. Step 5: Solve for x
    x = 88,160,224,494.52/207,636.75
  6. Step 6: Final answer
    x = 424,588.73

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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.