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Finding the Third Proportional to 173,853 and 248,142.75

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Solution

The third proportional to 173,853 and 248,142.75 is: 354,177.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,853 : 248,142.75 = 248,142.75 : x
  2. Step 2: Convert to fraction form
    173,853/248,142.75 = 248,142.75/x
  3. Step 3: Cross multiply
    173,853x = 248,142.75 × 248,142.75
  4. Step 4: Simplify right side
    173,853x = 61,574,824,377.56
  5. Step 5: Solve for x
    x = 61,574,824,377.56/173,853
  6. Step 6: Final answer
    x = 354,177.52

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.