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Finding the Third Proportional to 70,205 and 151,481

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Solution

The third proportional to 70,205 and 151,481 is: 326,849.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,205 : 151,481 = 151,481 : x
  2. Step 2: Convert to fraction form
    70,205/151,481 = 151,481/x
  3. Step 3: Cross multiply
    70,205x = 151,481 × 151,481
  4. Step 4: Simplify right side
    70,205x = 22,946,493,361
  5. Step 5: Solve for x
    x = 22,946,493,361/70,205
  6. Step 6: Final answer
    x = 326,849.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.