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Finding the Third Proportional to 175,174.50 and 379,402.50

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Solution

The third proportional to 175,174.50 and 379,402.50 is: 821,730.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,174.50 : 379,402.50 = 379,402.50 : x
  2. Step 2: Convert to fraction form
    175,174.50/379,402.50 = 379,402.50/x
  3. Step 3: Cross multiply
    175,174.50x = 379,402.50 × 379,402.50
  4. Step 4: Simplify right side
    175,174.50x = 143,946,257,006.25
  5. Step 5: Solve for x
    x = 143,946,257,006.25/175,174.50
  6. Step 6: Final answer
    x = 821,730.66

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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.