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Finding the Third Proportional to 224,101.50 and 482,187

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Solution

The third proportional to 224,101.50 and 482,187 is: 1,037,495.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,101.50 : 482,187 = 482,187 : x
  2. Step 2: Convert to fraction form
    224,101.50/482,187 = 482,187/x
  3. Step 3: Cross multiply
    224,101.50x = 482,187 × 482,187
  4. Step 4: Simplify right side
    224,101.50x = 232,504,302,969
  5. Step 5: Solve for x
    x = 232,504,302,969/224,101.50
  6. Step 6: Final answer
    x = 1,037,495.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.