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Finding the Third Proportional to 162,136 and 218,274

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Solution

The third proportional to 162,136 and 218,274 is: 293,849.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,136 : 218,274 = 218,274 : x
  2. Step 2: Convert to fraction form
    162,136/218,274 = 218,274/x
  3. Step 3: Cross multiply
    162,136x = 218,274 × 218,274
  4. Step 4: Simplify right side
    162,136x = 47,643,539,076
  5. Step 5: Solve for x
    x = 47,643,539,076/162,136
  6. Step 6: Final answer
    x = 293,849.23

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.