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Finding the Third Proportional to 151,311 and 325,963

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Solution

The third proportional to 151,311 and 325,963 is: 702,208.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,311 : 325,963 = 325,963 : x
  2. Step 2: Convert to fraction form
    151,311/325,963 = 325,963/x
  3. Step 3: Cross multiply
    151,311x = 325,963 × 325,963
  4. Step 4: Simplify right side
    151,311x = 106,251,877,369
  5. Step 5: Solve for x
    x = 106,251,877,369/151,311
  6. Step 6: Final answer
    x = 702,208.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.