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Finding the Third Proportional to 229,747.50 and 343,237.50

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Solution

The third proportional to 229,747.50 and 343,237.50 is: 512,788.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,747.50 : 343,237.50 = 343,237.50 : x
  2. Step 2: Convert to fraction form
    229,747.50/343,237.50 = 343,237.50/x
  3. Step 3: Cross multiply
    229,747.50x = 343,237.50 × 343,237.50
  4. Step 4: Simplify right side
    229,747.50x = 117,811,981,406.25
  5. Step 5: Solve for x
    x = 117,811,981,406.25/229,747.50
  6. Step 6: Final answer
    x = 512,788.96

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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.