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Finding the Third Proportional to 162,094 and 218,213

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Solution

The third proportional to 162,094 and 218,213 is: 293,761.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,094 : 218,213 = 218,213 : x
  2. Step 2: Convert to fraction form
    162,094/218,213 = 218,213/x
  3. Step 3: Cross multiply
    162,094x = 218,213 × 218,213
  4. Step 4: Simplify right side
    162,094x = 47,616,913,369
  5. Step 5: Solve for x
    x = 47,616,913,369/162,094
  6. Step 6: Final answer
    x = 293,761.11

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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.