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Finding the Third Proportional to 164,776.78 and 248,475.09

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Solution

The third proportional to 164,776.78 and 248,475.09 is: 374,687.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,776.78 : 248,475.09 = 248,475.09 : x
  2. Step 2: Convert to fraction form
    164,776.78/248,475.09 = 248,475.09/x
  3. Step 3: Cross multiply
    164,776.78x = 248,475.09 × 248,475.09
  4. Step 4: Simplify right side
    164,776.78x = 61,739,872,214.07
  5. Step 5: Solve for x
    x = 61,739,872,214.07/164,776.78
  6. Step 6: Final answer
    x = 374,687.94

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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.