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Finding the Third Proportional to 234,503 and 363,583.50

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Solution

The third proportional to 234,503 and 363,583.50 is: 563,715.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,503 : 363,583.50 = 363,583.50 : x
  2. Step 2: Convert to fraction form
    234,503/363,583.50 = 363,583.50/x
  3. Step 3: Cross multiply
    234,503x = 363,583.50 × 363,583.50
  4. Step 4: Simplify right side
    234,503x = 132,192,961,472.25
  5. Step 5: Solve for x
    x = 132,192,961,472.25/234,503
  6. Step 6: Final answer
    x = 563,715.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.