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Finding the Third Proportional to 259,396 and 476,168

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Solution

The third proportional to 259,396 and 476,168 is: 874,091.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,396 : 476,168 = 476,168 : x
  2. Step 2: Convert to fraction form
    259,396/476,168 = 476,168/x
  3. Step 3: Cross multiply
    259,396x = 476,168 × 476,168
  4. Step 4: Simplify right side
    259,396x = 226,735,964,224
  5. Step 5: Solve for x
    x = 226,735,964,224/259,396
  6. Step 6: Final answer
    x = 874,091.98

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.