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Finding the Third Proportional to 195,240 and 323,136

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Solution

The third proportional to 195,240 and 323,136 is: 534,812.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,240 : 323,136 = 323,136 : x
  2. Step 2: Convert to fraction form
    195,240/323,136 = 323,136/x
  3. Step 3: Cross multiply
    195,240x = 323,136 × 323,136
  4. Step 4: Simplify right side
    195,240x = 104,416,874,496
  5. Step 5: Solve for x
    x = 104,416,874,496/195,240
  6. Step 6: Final answer
    x = 534,812.92

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.