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Finding the Third Proportional to 135,927 and 319,807

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Solution

The third proportional to 135,927 and 319,807 is: 752,437.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,927 : 319,807 = 319,807 : x
  2. Step 2: Convert to fraction form
    135,927/319,807 = 319,807/x
  3. Step 3: Cross multiply
    135,927x = 319,807 × 319,807
  4. Step 4: Simplify right side
    135,927x = 102,276,517,249
  5. Step 5: Solve for x
    x = 102,276,517,249/135,927
  6. Step 6: Final answer
    x = 752,437.10

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.