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Finding the Third Proportional to 179,943.19 and 393,784.88

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Solution

The third proportional to 179,943.19 and 393,784.88 is: 861,752.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,943.19 : 393,784.88 = 393,784.88 : x
  2. Step 2: Convert to fraction form
    179,943.19/393,784.88 = 393,784.88/x
  3. Step 3: Cross multiply
    179,943.19x = 393,784.88 × 393,784.88
  4. Step 4: Simplify right side
    179,943.19x = 155,066,527,778.77
  5. Step 5: Solve for x
    x = 155,066,527,778.77/179,943.19
  6. Step 6: Final answer
    x = 861,752.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.