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Finding the Third Proportional to 229,542.50 and 307,863.75

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Solution

The third proportional to 229,542.50 and 307,863.75 is: 412,908.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,542.50 : 307,863.75 = 307,863.75 : x
  2. Step 2: Convert to fraction form
    229,542.50/307,863.75 = 307,863.75/x
  3. Step 3: Cross multiply
    229,542.50x = 307,863.75 × 307,863.75
  4. Step 4: Simplify right side
    229,542.50x = 94,780,088,564.06
  5. Step 5: Solve for x
    x = 94,780,088,564.06/229,542.50
  6. Step 6: Final answer
    x = 412,908.67

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.