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Finding the Third Proportional to 109,365 and 227,454

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Solution

The third proportional to 109,365 and 227,454 is: 473,051.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,365 : 227,454 = 227,454 : x
  2. Step 2: Convert to fraction form
    109,365/227,454 = 227,454/x
  3. Step 3: Cross multiply
    109,365x = 227,454 × 227,454
  4. Step 4: Simplify right side
    109,365x = 51,735,322,116
  5. Step 5: Solve for x
    x = 51,735,322,116/109,365
  6. Step 6: Final answer
    x = 473,051.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.