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Finding the Third Proportional to 157,212 and 243,621

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Solution

The third proportional to 157,212 and 243,621 is: 377,523.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,212 : 243,621 = 243,621 : x
  2. Step 2: Convert to fraction form
    157,212/243,621 = 243,621/x
  3. Step 3: Cross multiply
    157,212x = 243,621 × 243,621
  4. Step 4: Simplify right side
    157,212x = 59,351,191,641
  5. Step 5: Solve for x
    x = 59,351,191,641/157,212
  6. Step 6: Final answer
    x = 377,523.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.