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Finding the Third Proportional to 164,894 and 248,061

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Solution

The third proportional to 164,894 and 248,061 is: 373,174.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,894 : 248,061 = 248,061 : x
  2. Step 2: Convert to fraction form
    164,894/248,061 = 248,061/x
  3. Step 3: Cross multiply
    164,894x = 248,061 × 248,061
  4. Step 4: Simplify right side
    164,894x = 61,534,259,721
  5. Step 5: Solve for x
    x = 61,534,259,721/164,894
  6. Step 6: Final answer
    x = 373,174.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.