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Finding the Third Proportional to 106,205 and 229,617

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Solution

The third proportional to 106,205 and 229,617 is: 496,435.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,205 : 229,617 = 229,617 : x
  2. Step 2: Convert to fraction form
    106,205/229,617 = 229,617/x
  3. Step 3: Cross multiply
    106,205x = 229,617 × 229,617
  4. Step 4: Simplify right side
    106,205x = 52,723,966,689
  5. Step 5: Solve for x
    x = 52,723,966,689/106,205
  6. Step 6: Final answer
    x = 496,435.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.