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Finding the Third Proportional to 162,122 and 258,993

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Solution

The third proportional to 162,122 and 258,993 is: 413,746.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,122 : 258,993 = 258,993 : x
  2. Step 2: Convert to fraction form
    162,122/258,993 = 258,993/x
  3. Step 3: Cross multiply
    162,122x = 258,993 × 258,993
  4. Step 4: Simplify right side
    162,122x = 67,077,374,049
  5. Step 5: Solve for x
    x = 67,077,374,049/162,122
  6. Step 6: Final answer
    x = 413,746.28

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.