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Finding the Third Proportional to 152,870 and 329,176

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Solution

The third proportional to 152,870 and 329,176 is: 708,816.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,870 : 329,176 = 329,176 : x
  2. Step 2: Convert to fraction form
    152,870/329,176 = 329,176/x
  3. Step 3: Cross multiply
    152,870x = 329,176 × 329,176
  4. Step 4: Simplify right side
    152,870x = 108,356,838,976
  5. Step 5: Solve for x
    x = 108,356,838,976/152,870
  6. Step 6: Final answer
    x = 708,816.90

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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.