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Finding the Third Proportional to 146,336 and 323,136

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Solution

The third proportional to 146,336 and 323,136 is: 713,541.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,336 : 323,136 = 323,136 : x
  2. Step 2: Convert to fraction form
    146,336/323,136 = 323,136/x
  3. Step 3: Cross multiply
    146,336x = 323,136 × 323,136
  4. Step 4: Simplify right side
    146,336x = 104,416,874,496
  5. Step 5: Solve for x
    x = 104,416,874,496/146,336
  6. Step 6: Final answer
    x = 713,541.95

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.