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Finding the Third Proportional to 187,573.50 and 387,634.50

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Solution

The third proportional to 187,573.50 and 387,634.50 is: 801,075.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,573.50 : 387,634.50 = 387,634.50 : x
  2. Step 2: Convert to fraction form
    187,573.50/387,634.50 = 387,634.50/x
  3. Step 3: Cross multiply
    187,573.50x = 387,634.50 × 387,634.50
  4. Step 4: Simplify right side
    187,573.50x = 150,260,505,590.25
  5. Step 5: Solve for x
    x = 150,260,505,590.25/187,573.50
  6. Step 6: Final answer
    x = 801,075.34

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.