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Finding the Third Proportional to 152,703 and 328,819

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Solution

The third proportional to 152,703 and 328,819 is: 708,053.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,703 : 328,819 = 328,819 : x
  2. Step 2: Convert to fraction form
    152,703/328,819 = 328,819/x
  3. Step 3: Cross multiply
    152,703x = 328,819 × 328,819
  4. Step 4: Simplify right side
    152,703x = 108,121,934,761
  5. Step 5: Solve for x
    x = 108,121,934,761/152,703
  6. Step 6: Final answer
    x = 708,053.77

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