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Finding the Third Proportional to 229,583.74 and 344,606.27

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Solution

The third proportional to 229,583.74 and 344,606.27 is: 517,255.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,583.74 : 344,606.27 = 344,606.27 : x
  2. Step 2: Convert to fraction form
    229,583.74/344,606.27 = 344,606.27/x
  3. Step 3: Cross multiply
    229,583.74x = 344,606.27 × 344,606.27
  4. Step 4: Simplify right side
    229,583.74x = 118,753,483,692.48
  5. Step 5: Solve for x
    x = 118,753,483,692.48/229,583.74
  6. Step 6: Final answer
    x = 517,255.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.