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Finding the Third Proportional to 106,828 and 229,352

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Solution

The third proportional to 106,828 and 229,352 is: 492,402.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,828 : 229,352 = 229,352 : x
  2. Step 2: Convert to fraction form
    106,828/229,352 = 229,352/x
  3. Step 3: Cross multiply
    106,828x = 229,352 × 229,352
  4. Step 4: Simplify right side
    106,828x = 52,602,339,904
  5. Step 5: Solve for x
    x = 52,602,339,904/106,828
  6. Step 6: Final answer
    x = 492,402.18

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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.