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Finding the Third Proportional to 70,299 and 151,827

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Solution

The third proportional to 70,299 and 151,827 is: 327,905.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,299 : 151,827 = 151,827 : x
  2. Step 2: Convert to fraction form
    70,299/151,827 = 151,827/x
  3. Step 3: Cross multiply
    70,299x = 151,827 × 151,827
  4. Step 4: Simplify right side
    70,299x = 23,051,437,929
  5. Step 5: Solve for x
    x = 23,051,437,929/70,299
  6. Step 6: Final answer
    x = 327,905.63

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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.