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Finding the Third Proportional to 183,476 and 372,115.50

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Solution

The third proportional to 183,476 and 372,115.50 is: 754,703.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,476 : 372,115.50 = 372,115.50 : x
  2. Step 2: Convert to fraction form
    183,476/372,115.50 = 372,115.50/x
  3. Step 3: Cross multiply
    183,476x = 372,115.50 × 372,115.50
  4. Step 4: Simplify right side
    183,476x = 138,469,945,340.25
  5. Step 5: Solve for x
    x = 138,469,945,340.25/183,476
  6. Step 6: Final answer
    x = 754,703.31

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.