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Finding the Third Proportional to 146,904 and 318,232

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Solution

The third proportional to 146,904 and 318,232 is: 689,372.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,904 : 318,232 = 318,232 : x
  2. Step 2: Convert to fraction form
    146,904/318,232 = 318,232/x
  3. Step 3: Cross multiply
    146,904x = 318,232 × 318,232
  4. Step 4: Simplify right side
    146,904x = 101,271,605,824
  5. Step 5: Solve for x
    x = 101,271,605,824/146,904
  6. Step 6: Final answer
    x = 689,372.69

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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.