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Finding the Third Proportional to 84,729 and 167,332

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Solution

The third proportional to 84,729 and 167,332 is: 330,465.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,729 : 167,332 = 167,332 : x
  2. Step 2: Convert to fraction form
    84,729/167,332 = 167,332/x
  3. Step 3: Cross multiply
    84,729x = 167,332 × 167,332
  4. Step 4: Simplify right side
    84,729x = 27,999,998,224
  5. Step 5: Solve for x
    x = 27,999,998,224/84,729
  6. Step 6: Final answer
    x = 330,465.35

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.