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Finding the Third Proportional to 131,015 and 307,976

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Solution

The third proportional to 131,015 and 307,976 is: 723,956.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,015 : 307,976 = 307,976 : x
  2. Step 2: Convert to fraction form
    131,015/307,976 = 307,976/x
  3. Step 3: Cross multiply
    131,015x = 307,976 × 307,976
  4. Step 4: Simplify right side
    131,015x = 94,849,216,576
  5. Step 5: Solve for x
    x = 94,849,216,576/131,015
  6. Step 6: Final answer
    x = 723,956.93

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