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Finding the Third Proportional to 156,836.25 and 343,156.50

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Solution

The third proportional to 156,836.25 and 343,156.50 is: 750,823.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,836.25 : 343,156.50 = 343,156.50 : x
  2. Step 2: Convert to fraction form
    156,836.25/343,156.50 = 343,156.50/x
  3. Step 3: Cross multiply
    156,836.25x = 343,156.50 × 343,156.50
  4. Step 4: Simplify right side
    156,836.25x = 117,756,383,492.25
  5. Step 5: Solve for x
    x = 117,756,383,492.25/156,836.25
  6. Step 6: Final answer
    x = 750,823.76

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