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Finding the Third Proportional to 70,203 and 151,477

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Solution

The third proportional to 70,203 and 151,477 is: 326,841.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,203 : 151,477 = 151,477 : x
  2. Step 2: Convert to fraction form
    70,203/151,477 = 151,477/x
  3. Step 3: Cross multiply
    70,203x = 151,477 × 151,477
  4. Step 4: Simplify right side
    70,203x = 22,945,281,529
  5. Step 5: Solve for x
    x = 22,945,281,529/70,203
  6. Step 6: Final answer
    x = 326,841.89

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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.