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Finding the Third Proportional to 106,905 and 235,257

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Solution

The third proportional to 106,905 and 235,257 is: 517,710.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,905 : 235,257 = 235,257 : x
  2. Step 2: Convert to fraction form
    106,905/235,257 = 235,257/x
  3. Step 3: Cross multiply
    106,905x = 235,257 × 235,257
  4. Step 4: Simplify right side
    106,905x = 55,345,856,049
  5. Step 5: Solve for x
    x = 55,345,856,049/106,905
  6. Step 6: Final answer
    x = 517,710.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.