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Finding the Third Proportional to 134,212.50 and 292,401

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Solution

The third proportional to 134,212.50 and 292,401 is: 637,037.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,212.50 : 292,401 = 292,401 : x
  2. Step 2: Convert to fraction form
    134,212.50/292,401 = 292,401/x
  3. Step 3: Cross multiply
    134,212.50x = 292,401 × 292,401
  4. Step 4: Simplify right side
    134,212.50x = 85,498,344,801
  5. Step 5: Solve for x
    x = 85,498,344,801/134,212.50
  6. Step 6: Final answer
    x = 637,037.12

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.