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Finding the Third Proportional to 137,731.50 and 282,861

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Solution

The third proportional to 137,731.50 and 282,861 is: 580,915.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,731.50 : 282,861 = 282,861 : x
  2. Step 2: Convert to fraction form
    137,731.50/282,861 = 282,861/x
  3. Step 3: Cross multiply
    137,731.50x = 282,861 × 282,861
  4. Step 4: Simplify right side
    137,731.50x = 80,010,345,321
  5. Step 5: Solve for x
    x = 80,010,345,321/137,731.50
  6. Step 6: Final answer
    x = 580,915.37

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.