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Finding the Third Proportional to 203,503.50 and 299,158

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Solution

The third proportional to 203,503.50 and 299,158 is: 439,773.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,503.50 : 299,158 = 299,158 : x
  2. Step 2: Convert to fraction form
    203,503.50/299,158 = 299,158/x
  3. Step 3: Cross multiply
    203,503.50x = 299,158 × 299,158
  4. Step 4: Simplify right side
    203,503.50x = 89,495,508,964
  5. Step 5: Solve for x
    x = 89,495,508,964/203,503.50
  6. Step 6: Final answer
    x = 439,773.81

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.