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Finding the Third Proportional to 105,207 and 229,692

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Solution

The third proportional to 105,207 and 229,692 is: 501,472.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,207 : 229,692 = 229,692 : x
  2. Step 2: Convert to fraction form
    105,207/229,692 = 229,692/x
  3. Step 3: Cross multiply
    105,207x = 229,692 × 229,692
  4. Step 4: Simplify right side
    105,207x = 52,758,414,864
  5. Step 5: Solve for x
    x = 52,758,414,864/105,207
  6. Step 6: Final answer
    x = 501,472.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.