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Finding the Third Proportional to 190,147.50 and 376,893

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Solution

The third proportional to 190,147.50 and 376,893 is: 747,042.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,147.50 : 376,893 = 376,893 : x
  2. Step 2: Convert to fraction form
    190,147.50/376,893 = 376,893/x
  3. Step 3: Cross multiply
    190,147.50x = 376,893 × 376,893
  4. Step 4: Simplify right side
    190,147.50x = 142,048,333,449
  5. Step 5: Solve for x
    x = 142,048,333,449/190,147.50
  6. Step 6: Final answer
    x = 747,042.87

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.