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Finding the Third Proportional to 70,598 and 155,019

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Solution

The third proportional to 70,598 and 155,019 is: 340,390.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,598 : 155,019 = 155,019 : x
  2. Step 2: Convert to fraction form
    70,598/155,019 = 155,019/x
  3. Step 3: Cross multiply
    70,598x = 155,019 × 155,019
  4. Step 4: Simplify right side
    70,598x = 24,030,890,361
  5. Step 5: Solve for x
    x = 24,030,890,361/70,598
  6. Step 6: Final answer
    x = 340,390.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.