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Finding the Third Proportional to 193,565 and 417,745

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Solution

The third proportional to 193,565 and 417,745 is: 901,562.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,565 : 417,745 = 417,745 : x
  2. Step 2: Convert to fraction form
    193,565/417,745 = 417,745/x
  3. Step 3: Cross multiply
    193,565x = 417,745 × 417,745
  4. Step 4: Simplify right side
    193,565x = 174,510,885,025
  5. Step 5: Solve for x
    x = 174,510,885,025/193,565
  6. Step 6: Final answer
    x = 901,562.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.