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Finding the Third Proportional to 70,609 and 155,434

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Solution

The third proportional to 70,609 and 155,434 is: 342,162.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,609 : 155,434 = 155,434 : x
  2. Step 2: Convert to fraction form
    70,609/155,434 = 155,434/x
  3. Step 3: Cross multiply
    70,609x = 155,434 × 155,434
  4. Step 4: Simplify right side
    70,609x = 24,159,728,356
  5. Step 5: Solve for x
    x = 24,159,728,356/70,609
  6. Step 6: Final answer
    x = 342,162.17

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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.