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Finding the Third Proportional to 162,496 and 243,744

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Solution

The third proportional to 162,496 and 243,744 is: 365,616

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,496 : 243,744 = 243,744 : x
  2. Step 2: Convert to fraction form
    162,496/243,744 = 243,744/x
  3. Step 3: Cross multiply
    162,496x = 243,744 × 243,744
  4. Step 4: Simplify right side
    162,496x = 59,411,137,536
  5. Step 5: Solve for x
    x = 59,411,137,536/162,496
  6. Step 6: Final answer
    x = 365,616

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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.