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Finding the Third Proportional to 162,672 and 259,728

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Solution

The third proportional to 162,672 and 259,728 is: 414,691.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,672 : 259,728 = 259,728 : x
  2. Step 2: Convert to fraction form
    162,672/259,728 = 259,728/x
  3. Step 3: Cross multiply
    162,672x = 259,728 × 259,728
  4. Step 4: Simplify right side
    162,672x = 67,458,633,984
  5. Step 5: Solve for x
    x = 67,458,633,984/162,672
  6. Step 6: Final answer
    x = 414,691.12

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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.