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Finding the Third Proportional to 116,471 and 164,829

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Solution

The third proportional to 116,471 and 164,829 is: 233,264.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,471 : 164,829 = 164,829 : x
  2. Step 2: Convert to fraction form
    116,471/164,829 = 164,829/x
  3. Step 3: Cross multiply
    116,471x = 164,829 × 164,829
  4. Step 4: Simplify right side
    116,471x = 27,168,599,241
  5. Step 5: Solve for x
    x = 27,168,599,241/116,471
  6. Step 6: Final answer
    x = 233,264.93

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.