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Finding the Third Proportional to 162,092 and 218,210

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Solution

The third proportional to 162,092 and 218,210 is: 293,756.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,092 : 218,210 = 218,210 : x
  2. Step 2: Convert to fraction form
    162,092/218,210 = 218,210/x
  3. Step 3: Cross multiply
    162,092x = 218,210 × 218,210
  4. Step 4: Simplify right side
    162,092x = 47,615,604,100
  5. Step 5: Solve for x
    x = 47,615,604,100/162,092
  6. Step 6: Final answer
    x = 293,756.66

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