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Finding the Third Proportional to 152,361 and 328,136

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Solution

The third proportional to 152,361 and 328,136 is: 706,698.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,361 : 328,136 = 328,136 : x
  2. Step 2: Convert to fraction form
    152,361/328,136 = 328,136/x
  3. Step 3: Cross multiply
    152,361x = 328,136 × 328,136
  4. Step 4: Simplify right side
    152,361x = 107,673,234,496
  5. Step 5: Solve for x
    x = 107,673,234,496/152,361
  6. Step 6: Final answer
    x = 706,698.13

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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.