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Finding the Third Proportional to 235,364 and 359,204

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Solution

The third proportional to 235,364 and 359,204 is: 548,204.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,364 : 359,204 = 359,204 : x
  2. Step 2: Convert to fraction form
    235,364/359,204 = 359,204/x
  3. Step 3: Cross multiply
    235,364x = 359,204 × 359,204
  4. Step 4: Simplify right side
    235,364x = 129,027,513,616
  5. Step 5: Solve for x
    x = 129,027,513,616/235,364
  6. Step 6: Final answer
    x = 548,204.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.