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Finding the Third Proportional to 152,021 and 328,234

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Solution

The third proportional to 152,021 and 328,234 is: 708,701.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,021 : 328,234 = 328,234 : x
  2. Step 2: Convert to fraction form
    152,021/328,234 = 328,234/x
  3. Step 3: Cross multiply
    152,021x = 328,234 × 328,234
  4. Step 4: Simplify right side
    152,021x = 107,737,558,756
  5. Step 5: Solve for x
    x = 107,737,558,756/152,021
  6. Step 6: Final answer
    x = 708,701.82

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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.