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Finding the Third Proportional to 156,760 and 342,968

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Solution

The third proportional to 156,760 and 342,968 is: 750,363.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,760 : 342,968 = 342,968 : x
  2. Step 2: Convert to fraction form
    156,760/342,968 = 342,968/x
  3. Step 3: Cross multiply
    156,760x = 342,968 × 342,968
  4. Step 4: Simplify right side
    156,760x = 117,627,049,024
  5. Step 5: Solve for x
    x = 117,627,049,024/156,760
  6. Step 6: Final answer
    x = 750,363.93

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Why These Related Problems?

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