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Finding the Third Proportional to 70,241 and 155,254

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Solution

The third proportional to 70,241 and 155,254 is: 343,158.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,241 : 155,254 = 155,254 : x
  2. Step 2: Convert to fraction form
    70,241/155,254 = 155,254/x
  3. Step 3: Cross multiply
    70,241x = 155,254 × 155,254
  4. Step 4: Simplify right side
    70,241x = 24,103,804,516
  5. Step 5: Solve for x
    x = 24,103,804,516/70,241
  6. Step 6: Final answer
    x = 343,158.62

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.