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Finding the Third Proportional to 173,853 and 380,922

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Solution

The third proportional to 173,853 and 380,922 is: 834,622.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,853 : 380,922 = 380,922 : x
  2. Step 2: Convert to fraction form
    173,853/380,922 = 380,922/x
  3. Step 3: Cross multiply
    173,853x = 380,922 × 380,922
  4. Step 4: Simplify right side
    173,853x = 145,101,570,084
  5. Step 5: Solve for x
    x = 145,101,570,084/173,853
  6. Step 6: Final answer
    x = 834,622.18

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.