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Finding the Third Proportional to 137,598.75 and 203,846.63

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Solution

The third proportional to 137,598.75 and 203,846.63 is: 301,990.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,598.75 : 203,846.63 = 203,846.63 : x
  2. Step 2: Convert to fraction form
    137,598.75/203,846.63 = 203,846.63/x
  3. Step 3: Cross multiply
    137,598.75x = 203,846.63 × 203,846.63
  4. Step 4: Simplify right side
    137,598.75x = 41,553,446,523.89
  5. Step 5: Solve for x
    x = 41,553,446,523.89/137,598.75
  6. Step 6: Final answer
    x = 301,990.00

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.