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Finding the Third Proportional to 229,047.75 and 356,658.75

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Solution

The third proportional to 229,047.75 and 356,658.75 is: 555,366.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,047.75 : 356,658.75 = 356,658.75 : x
  2. Step 2: Convert to fraction form
    229,047.75/356,658.75 = 356,658.75/x
  3. Step 3: Cross multiply
    229,047.75x = 356,658.75 × 356,658.75
  4. Step 4: Simplify right side
    229,047.75x = 127,205,463,951.56
  5. Step 5: Solve for x
    x = 127,205,463,951.56/229,047.75
  6. Step 6: Final answer
    x = 555,366.57

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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.