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Finding the Third Proportional to 183,730.50 and 393,703.88

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Solution

The third proportional to 183,730.50 and 393,703.88 is: 843,641.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,730.50 : 393,703.88 = 393,703.88 : x
  2. Step 2: Convert to fraction form
    183,730.50/393,703.88 = 393,703.88/x
  3. Step 3: Cross multiply
    183,730.50x = 393,703.88 × 393,703.88
  4. Step 4: Simplify right side
    183,730.50x = 155,002,741,190.02
  5. Step 5: Solve for x
    x = 155,002,741,190.02/183,730.50
  6. Step 6: Final answer
    x = 843,641.86

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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.