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Finding the Third Proportional to 146,043 and 319,119.75

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Solution

The third proportional to 146,043 and 319,119.75 is: 697,311.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,043 : 319,119.75 = 319,119.75 : x
  2. Step 2: Convert to fraction form
    146,043/319,119.75 = 319,119.75/x
  3. Step 3: Cross multiply
    146,043x = 319,119.75 × 319,119.75
  4. Step 4: Simplify right side
    146,043x = 101,837,414,840.06
  5. Step 5: Solve for x
    x = 101,837,414,840.06/146,043
  6. Step 6: Final answer
    x = 697,311.17

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.