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Finding the Third Proportional to 70,970 and 154,414

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Solution

The third proportional to 70,970 and 154,414 is: 335,968.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,970 : 154,414 = 154,414 : x
  2. Step 2: Convert to fraction form
    70,970/154,414 = 154,414/x
  3. Step 3: Cross multiply
    70,970x = 154,414 × 154,414
  4. Step 4: Simplify right side
    70,970x = 23,843,683,396
  5. Step 5: Solve for x
    x = 23,843,683,396/70,970
  6. Step 6: Final answer
    x = 335,968.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.