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Finding the Third Proportional to 175,401 and 282,481

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Solution

The third proportional to 175,401 and 282,481 is: 454,931.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,401 : 282,481 = 282,481 : x
  2. Step 2: Convert to fraction form
    175,401/282,481 = 282,481/x
  3. Step 3: Cross multiply
    175,401x = 282,481 × 282,481
  4. Step 4: Simplify right side
    175,401x = 79,795,515,361
  5. Step 5: Solve for x
    x = 79,795,515,361/175,401
  6. Step 6: Final answer
    x = 454,931.93

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.