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Finding the Third Proportional to 156,863.25 and 344,479.50

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Solution

The third proportional to 156,863.25 and 344,479.50 is: 756,494.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,863.25 : 344,479.50 = 344,479.50 : x
  2. Step 2: Convert to fraction form
    156,863.25/344,479.50 = 344,479.50/x
  3. Step 3: Cross multiply
    156,863.25x = 344,479.50 × 344,479.50
  4. Step 4: Simplify right side
    156,863.25x = 118,666,125,920.25
  5. Step 5: Solve for x
    x = 118,666,125,920.25/156,863.25
  6. Step 6: Final answer
    x = 756,494.12

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.