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Finding the Third Proportional to 163,971 and 341,928

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Solution

The third proportional to 163,971 and 341,928 is: 713,020.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,971 : 341,928 = 341,928 : x
  2. Step 2: Convert to fraction form
    163,971/341,928 = 341,928/x
  3. Step 3: Cross multiply
    163,971x = 341,928 × 341,928
  4. Step 4: Simplify right side
    163,971x = 116,914,757,184
  5. Step 5: Solve for x
    x = 116,914,757,184/163,971
  6. Step 6: Final answer
    x = 713,020.94

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.