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Finding the Third Proportional to 179,968.50 and 393,835.50

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Solution

The third proportional to 179,968.50 and 393,835.50 is: 861,853.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,968.50 : 393,835.50 = 393,835.50 : x
  2. Step 2: Convert to fraction form
    179,968.50/393,835.50 = 393,835.50/x
  3. Step 3: Cross multiply
    179,968.50x = 393,835.50 × 393,835.50
  4. Step 4: Simplify right side
    179,968.50x = 155,106,401,060.25
  5. Step 5: Solve for x
    x = 155,106,401,060.25/179,968.50
  6. Step 6: Final answer
    x = 861,853.05

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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.