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Finding the Third Proportional to 159,456 and 346,935.75

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Solution

The third proportional to 159,456 and 346,935.75 is: 754,844.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,456 : 346,935.75 = 346,935.75 : x
  2. Step 2: Convert to fraction form
    159,456/346,935.75 = 346,935.75/x
  3. Step 3: Cross multiply
    159,456x = 346,935.75 × 346,935.75
  4. Step 4: Simplify right side
    159,456x = 120,364,414,628.06
  5. Step 5: Solve for x
    x = 120,364,414,628.06/159,456
  6. Step 6: Final answer
    x = 754,844.06

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.