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Finding the Third Proportional to 180,801 and 393,133.50

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Solution

The third proportional to 180,801 and 393,133.50 is: 854,829.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,801 : 393,133.50 = 393,133.50 : x
  2. Step 2: Convert to fraction form
    180,801/393,133.50 = 393,133.50/x
  3. Step 3: Cross multiply
    180,801x = 393,133.50 × 393,133.50
  4. Step 4: Simplify right side
    180,801x = 154,553,948,822.25
  5. Step 5: Solve for x
    x = 154,553,948,822.25/180,801
  6. Step 6: Final answer
    x = 854,829.06

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.