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Finding the Third Proportional to 207,235.50 and 329,536.38

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Solution

The third proportional to 207,235.50 and 329,536.38 is: 524,013.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,235.50 : 329,536.38 = 329,536.38 : x
  2. Step 2: Convert to fraction form
    207,235.50/329,536.38 = 329,536.38/x
  3. Step 3: Cross multiply
    207,235.50x = 329,536.38 × 329,536.38
  4. Step 4: Simplify right side
    207,235.50x = 108,594,222,448.14
  5. Step 5: Solve for x
    x = 108,594,222,448.14/207,235.50
  6. Step 6: Final answer
    x = 524,013.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.