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Finding the Third Proportional to 180,204 and 391,152

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Solution

The third proportional to 180,204 and 391,152 is: 849,037.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,204 : 391,152 = 391,152 : x
  2. Step 2: Convert to fraction form
    180,204/391,152 = 391,152/x
  3. Step 3: Cross multiply
    180,204x = 391,152 × 391,152
  4. Step 4: Simplify right side
    180,204x = 152,999,887,104
  5. Step 5: Solve for x
    x = 152,999,887,104/180,204
  6. Step 6: Final answer
    x = 849,037.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.