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Finding the Third Proportional to 229,048 and 356,660

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Solution

The third proportional to 229,048 and 356,660 is: 555,369.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,048 : 356,660 = 356,660 : x
  2. Step 2: Convert to fraction form
    229,048/356,660 = 356,660/x
  3. Step 3: Cross multiply
    229,048x = 356,660 × 356,660
  4. Step 4: Simplify right side
    229,048x = 127,206,355,600
  5. Step 5: Solve for x
    x = 127,206,355,600/229,048
  6. Step 6: Final answer
    x = 555,369.86

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.