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Finding the Third Proportional to 151,452 and 318,881

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Solution

The third proportional to 151,452 and 318,881 is: 671,401.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,452 : 318,881 = 318,881 : x
  2. Step 2: Convert to fraction form
    151,452/318,881 = 318,881/x
  3. Step 3: Cross multiply
    151,452x = 318,881 × 318,881
  4. Step 4: Simplify right side
    151,452x = 101,685,092,161
  5. Step 5: Solve for x
    x = 101,685,092,161/151,452
  6. Step 6: Final answer
    x = 671,401.45

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.