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Finding the Third Proportional to 254,496 and 381,588

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Solution

The third proportional to 254,496 and 381,588 is: 572,148.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,496 : 381,588 = 381,588 : x
  2. Step 2: Convert to fraction form
    254,496/381,588 = 381,588/x
  3. Step 3: Cross multiply
    254,496x = 381,588 × 381,588
  4. Step 4: Simplify right side
    254,496x = 145,609,401,744
  5. Step 5: Solve for x
    x = 145,609,401,744/254,496
  6. Step 6: Final answer
    x = 572,148.10

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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.