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Finding the Third Proportional to 145,062 and 227,799

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Solution

The third proportional to 145,062 and 227,799 is: 357,725.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,062 : 227,799 = 227,799 : x
  2. Step 2: Convert to fraction form
    145,062/227,799 = 227,799/x
  3. Step 3: Cross multiply
    145,062x = 227,799 × 227,799
  4. Step 4: Simplify right side
    145,062x = 51,892,384,401
  5. Step 5: Solve for x
    x = 51,892,384,401/145,062
  6. Step 6: Final answer
    x = 357,725.55

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.