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Finding the Third Proportional to 162,006 and 218,090

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Solution

The third proportional to 162,006 and 218,090 is: 293,589.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,006 : 218,090 = 218,090 : x
  2. Step 2: Convert to fraction form
    162,006/218,090 = 218,090/x
  3. Step 3: Cross multiply
    162,006x = 218,090 × 218,090
  4. Step 4: Simplify right side
    162,006x = 47,563,248,100
  5. Step 5: Solve for x
    x = 47,563,248,100/162,006
  6. Step 6: Final answer
    x = 293,589.42

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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.