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Finding the Third Proportional to 70,215 and 152,337

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Solution

The third proportional to 70,215 and 152,337 is: 330,507.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,215 : 152,337 = 152,337 : x
  2. Step 2: Convert to fraction form
    70,215/152,337 = 152,337/x
  3. Step 3: Cross multiply
    70,215x = 152,337 × 152,337
  4. Step 4: Simplify right side
    70,215x = 23,206,561,569
  5. Step 5: Solve for x
    x = 23,206,561,569/70,215
  6. Step 6: Final answer
    x = 330,507.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.