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Finding the Third Proportional to 152,859 and 329,152

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Solution

The third proportional to 152,859 and 329,152 is: 708,764.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,859 : 329,152 = 329,152 : x
  2. Step 2: Convert to fraction form
    152,859/329,152 = 329,152/x
  3. Step 3: Cross multiply
    152,859x = 329,152 × 329,152
  4. Step 4: Simplify right side
    152,859x = 108,341,039,104
  5. Step 5: Solve for x
    x = 108,341,039,104/152,859
  6. Step 6: Final answer
    x = 708,764.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.