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Finding the Third Proportional to 106,599 and 229,332

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Solution

The third proportional to 106,599 and 229,332 is: 493,373.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,599 : 229,332 = 229,332 : x
  2. Step 2: Convert to fraction form
    106,599/229,332 = 229,332/x
  3. Step 3: Cross multiply
    106,599x = 229,332 × 229,332
  4. Step 4: Simplify right side
    106,599x = 52,593,166,224
  5. Step 5: Solve for x
    x = 52,593,166,224/106,599
  6. Step 6: Final answer
    x = 493,373.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.