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Finding the Third Proportional to 156,208 and 333,136

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Solution

The third proportional to 156,208 and 333,136 is: 710,460.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,208 : 333,136 = 333,136 : x
  2. Step 2: Convert to fraction form
    156,208/333,136 = 333,136/x
  3. Step 3: Cross multiply
    156,208x = 333,136 × 333,136
  4. Step 4: Simplify right side
    156,208x = 110,979,594,496
  5. Step 5: Solve for x
    x = 110,979,594,496/156,208
  6. Step 6: Final answer
    x = 710,460.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.