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Finding the Third Proportional to 159,025.50 and 342,963

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Solution

The third proportional to 159,025.50 and 342,963 is: 739,652.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,025.50 : 342,963 = 342,963 : x
  2. Step 2: Convert to fraction form
    159,025.50/342,963 = 342,963/x
  3. Step 3: Cross multiply
    159,025.50x = 342,963 × 342,963
  4. Step 4: Simplify right side
    159,025.50x = 117,623,619,369
  5. Step 5: Solve for x
    x = 117,623,619,369/159,025.50
  6. Step 6: Final answer
    x = 739,652.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.