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Finding the Third Proportional to 109,269 and 237,765.38

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Solution

The third proportional to 109,269 and 237,765.38 is: 517,368.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,269 : 237,765.38 = 237,765.38 : x
  2. Step 2: Convert to fraction form
    109,269/237,765.38 = 237,765.38/x
  3. Step 3: Cross multiply
    109,269x = 237,765.38 × 237,765.38
  4. Step 4: Simplify right side
    109,269x = 56,532,373,548.89
  5. Step 5: Solve for x
    x = 56,532,373,548.89/109,269
  6. Step 6: Final answer
    x = 517,368.82

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.