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Finding the Third Proportional to 179,675.72 and 394,343.44

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Solution

The third proportional to 179,675.72 and 394,343.44 is: 865,485.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,675.72 : 394,343.44 = 394,343.44 : x
  2. Step 2: Convert to fraction form
    179,675.72/394,343.44 = 394,343.44/x
  3. Step 3: Cross multiply
    179,675.72x = 394,343.44 × 394,343.44
  4. Step 4: Simplify right side
    179,675.72x = 155,506,746,699.32
  5. Step 5: Solve for x
    x = 155,506,746,699.32/179,675.72
  6. Step 6: Final answer
    x = 865,485.60

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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.