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Finding the Third Proportional to 162,136 and 353,500

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Solution

The third proportional to 162,136 and 353,500 is: 770,724.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,136 : 353,500 = 353,500 : x
  2. Step 2: Convert to fraction form
    162,136/353,500 = 353,500/x
  3. Step 3: Cross multiply
    162,136x = 353,500 × 353,500
  4. Step 4: Simplify right side
    162,136x = 124,962,250,000
  5. Step 5: Solve for x
    x = 124,962,250,000/162,136
  6. Step 6: Final answer
    x = 770,724.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.