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Finding the Third Proportional to 70,333 and 151,664

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Solution

The third proportional to 70,333 and 151,664 is: 327,043.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,333 : 151,664 = 151,664 : x
  2. Step 2: Convert to fraction form
    70,333/151,664 = 151,664/x
  3. Step 3: Cross multiply
    70,333x = 151,664 × 151,664
  4. Step 4: Simplify right side
    70,333x = 23,001,968,896
  5. Step 5: Solve for x
    x = 23,001,968,896/70,333
  6. Step 6: Final answer
    x = 327,043.76

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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.