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Finding the Third Proportional to 131,740.50 and 283,462

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Solution

The third proportional to 131,740.50 and 283,462 is: 609,916.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,740.50 : 283,462 = 283,462 : x
  2. Step 2: Convert to fraction form
    131,740.50/283,462 = 283,462/x
  3. Step 3: Cross multiply
    131,740.50x = 283,462 × 283,462
  4. Step 4: Simplify right side
    131,740.50x = 80,350,705,444
  5. Step 5: Solve for x
    x = 80,350,705,444/131,740.50
  6. Step 6: Final answer
    x = 609,916.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.