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Finding the Third Proportional to 164,322 and 248,265

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Solution

The third proportional to 164,322 and 248,265 is: 375,089.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,322 : 248,265 = 248,265 : x
  2. Step 2: Convert to fraction form
    164,322/248,265 = 248,265/x
  3. Step 3: Cross multiply
    164,322x = 248,265 × 248,265
  4. Step 4: Simplify right side
    164,322x = 61,635,510,225
  5. Step 5: Solve for x
    x = 61,635,510,225/164,322
  6. Step 6: Final answer
    x = 375,089.83

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Why These Related Problems?

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