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Finding the Third Proportional to 134,401 and 282,590

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Solution

The third proportional to 134,401 and 282,590 is: 594,170.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,401 : 282,590 = 282,590 : x
  2. Step 2: Convert to fraction form
    134,401/282,590 = 282,590/x
  3. Step 3: Cross multiply
    134,401x = 282,590 × 282,590
  4. Step 4: Simplify right side
    134,401x = 79,857,108,100
  5. Step 5: Solve for x
    x = 79,857,108,100/134,401
  6. Step 6: Final answer
    x = 594,170.49

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.