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Finding the Third Proportional to 71,509.50 and 157,383

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Solution

The third proportional to 71,509.50 and 157,383 is: 346,379.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,509.50 : 157,383 = 157,383 : x
  2. Step 2: Convert to fraction form
    71,509.50/157,383 = 157,383/x
  3. Step 3: Cross multiply
    71,509.50x = 157,383 × 157,383
  4. Step 4: Simplify right side
    71,509.50x = 24,769,408,689
  5. Step 5: Solve for x
    x = 24,769,408,689/71,509.50
  6. Step 6: Final answer
    x = 346,379.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.