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Finding the Third Proportional to 109,459 and 237,600

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Solution

The third proportional to 109,459 and 237,600 is: 515,752.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,459 : 237,600 = 237,600 : x
  2. Step 2: Convert to fraction form
    109,459/237,600 = 237,600/x
  3. Step 3: Cross multiply
    109,459x = 237,600 × 237,600
  4. Step 4: Simplify right side
    109,459x = 56,453,760,000
  5. Step 5: Solve for x
    x = 56,453,760,000/109,459
  6. Step 6: Final answer
    x = 515,752.56

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.