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Finding the Third Proportional to 205,896.94 and 307,045.69

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Solution

The third proportional to 205,896.94 and 307,045.69 is: 457,884.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,896.94 : 307,045.69 = 307,045.69 : x
  2. Step 2: Convert to fraction form
    205,896.94/307,045.69 = 307,045.69/x
  3. Step 3: Cross multiply
    205,896.94x = 307,045.69 × 307,045.69
  4. Step 4: Simplify right side
    205,896.94x = 94,277,054,212.35
  5. Step 5: Solve for x
    x = 94,277,054,212.35/205,896.94
  6. Step 6: Final answer
    x = 457,884.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.