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Finding the Third Proportional to 159,606 and 342,730.50

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Solution

The third proportional to 159,606 and 342,730.50 is: 735,963.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,606 : 342,730.50 = 342,730.50 : x
  2. Step 2: Convert to fraction form
    159,606/342,730.50 = 342,730.50/x
  3. Step 3: Cross multiply
    159,606x = 342,730.50 × 342,730.50
  4. Step 4: Simplify right side
    159,606x = 117,464,195,630.25
  5. Step 5: Solve for x
    x = 117,464,195,630.25/159,606
  6. Step 6: Final answer
    x = 735,963.53

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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.