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Finding the Third Proportional to 134,734.50 and 211,358.50

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Solution

The third proportional to 134,734.50 and 211,358.50 is: 331,558.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,734.50 : 211,358.50 = 211,358.50 : x
  2. Step 2: Convert to fraction form
    134,734.50/211,358.50 = 211,358.50/x
  3. Step 3: Cross multiply
    134,734.50x = 211,358.50 × 211,358.50
  4. Step 4: Simplify right side
    134,734.50x = 44,672,415,522.25
  5. Step 5: Solve for x
    x = 44,672,415,522.25/134,734.50
  6. Step 6: Final answer
    x = 331,558.85

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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.