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Finding the Third Proportional to 160,073 and 344,974

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Solution

The third proportional to 160,073 and 344,974 is: 743,454.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,073 : 344,974 = 344,974 : x
  2. Step 2: Convert to fraction form
    160,073/344,974 = 344,974/x
  3. Step 3: Cross multiply
    160,073x = 344,974 × 344,974
  4. Step 4: Simplify right side
    160,073x = 119,007,060,676
  5. Step 5: Solve for x
    x = 119,007,060,676/160,073
  6. Step 6: Final answer
    x = 743,454.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.