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Finding the Third Proportional to 218,174.50 and 467,453

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Solution

The third proportional to 218,174.50 and 467,453 is: 1,001,548.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,174.50 : 467,453 = 467,453 : x
  2. Step 2: Convert to fraction form
    218,174.50/467,453 = 467,453/x
  3. Step 3: Cross multiply
    218,174.50x = 467,453 × 467,453
  4. Step 4: Simplify right side
    218,174.50x = 218,512,307,209
  5. Step 5: Solve for x
    x = 218,512,307,209/218,174.50
  6. Step 6: Final answer
    x = 1,001,548.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.