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Finding the Third Proportional to 227,358.77 and 356,658.82

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Solution

The third proportional to 227,358.77 and 356,658.82 is: 559,492.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,358.77 : 356,658.82 = 356,658.82 : x
  2. Step 2: Convert to fraction form
    227,358.77/356,658.82 = 356,658.82/x
  3. Step 3: Cross multiply
    227,358.77x = 356,658.82 × 356,658.82
  4. Step 4: Simplify right side
    227,358.77x = 127,205,514,106.70
  5. Step 5: Solve for x
    x = 127,205,514,106.70/227,358.77
  6. Step 6: Final answer
    x = 559,492.44

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.