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Finding the Third Proportional to 152,980 and 328,105

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Solution

The third proportional to 152,980 and 328,105 is: 703,705.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,980 : 328,105 = 328,105 : x
  2. Step 2: Convert to fraction form
    152,980/328,105 = 328,105/x
  3. Step 3: Cross multiply
    152,980x = 328,105 × 328,105
  4. Step 4: Simplify right side
    152,980x = 107,652,891,025
  5. Step 5: Solve for x
    x = 107,652,891,025/152,980
  6. Step 6: Final answer
    x = 703,705.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.