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Finding the Third Proportional to 137,296.41 and 205,447.22

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Solution

The third proportional to 137,296.41 and 205,447.22 is: 307,426.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,296.41 : 205,447.22 = 205,447.22 : x
  2. Step 2: Convert to fraction form
    137,296.41/205,447.22 = 205,447.22/x
  3. Step 3: Cross multiply
    137,296.41x = 205,447.22 × 205,447.22
  4. Step 4: Simplify right side
    137,296.41x = 42,208,559,692.11
  5. Step 5: Solve for x
    x = 42,208,559,692.11/137,296.41
  6. Step 6: Final answer
    x = 307,426.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.