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Finding the Third Proportional to 229,879.50 and 356,776.50

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Solution

The third proportional to 229,879.50 and 356,776.50 is: 553,722.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,879.50 : 356,776.50 = 356,776.50 : x
  2. Step 2: Convert to fraction form
    229,879.50/356,776.50 = 356,776.50/x
  3. Step 3: Cross multiply
    229,879.50x = 356,776.50 × 356,776.50
  4. Step 4: Simplify right side
    229,879.50x = 127,289,470,952.25
  5. Step 5: Solve for x
    x = 127,289,470,952.25/229,879.50
  6. Step 6: Final answer
    x = 553,722.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.