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Finding the Third Proportional to 162,492 and 243,738

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Solution

The third proportional to 162,492 and 243,738 is: 365,607

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,492 : 243,738 = 243,738 : x
  2. Step 2: Convert to fraction form
    162,492/243,738 = 243,738/x
  3. Step 3: Cross multiply
    162,492x = 243,738 × 243,738
  4. Step 4: Simplify right side
    162,492x = 59,408,212,644
  5. Step 5: Solve for x
    x = 59,408,212,644/162,492
  6. Step 6: Final answer
    x = 365,607

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.