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Finding the Third Proportional to 155,817 and 334,906.50

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Solution

The third proportional to 155,817 and 334,906.50 is: 719,833.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,817 : 334,906.50 = 334,906.50 : x
  2. Step 2: Convert to fraction form
    155,817/334,906.50 = 334,906.50/x
  3. Step 3: Cross multiply
    155,817x = 334,906.50 × 334,906.50
  4. Step 4: Simplify right side
    155,817x = 112,162,363,742.25
  5. Step 5: Solve for x
    x = 112,162,363,742.25/155,817
  6. Step 6: Final answer
    x = 719,833.93

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.