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Finding the Third Proportional to 164,648.50 and 248,270

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Solution

The third proportional to 164,648.50 and 248,270 is: 374,361.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,648.50 : 248,270 = 248,270 : x
  2. Step 2: Convert to fraction form
    164,648.50/248,270 = 248,270/x
  3. Step 3: Cross multiply
    164,648.50x = 248,270 × 248,270
  4. Step 4: Simplify right side
    164,648.50x = 61,637,992,900
  5. Step 5: Solve for x
    x = 61,637,992,900/164,648.50
  6. Step 6: Final answer
    x = 374,361.10

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.