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Finding the Third Proportional to 207,785.25 and 296,733.38

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Solution

The third proportional to 207,785.25 and 296,733.38 is: 423,758.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,785.25 : 296,733.38 = 296,733.38 : x
  2. Step 2: Convert to fraction form
    207,785.25/296,733.38 = 296,733.38/x
  3. Step 3: Cross multiply
    207,785.25x = 296,733.38 × 296,733.38
  4. Step 4: Simplify right side
    207,785.25x = 88,050,695,838.89
  5. Step 5: Solve for x
    x = 88,050,695,838.89/207,785.25
  6. Step 6: Final answer
    x = 423,758.16

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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.