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Finding the Third Proportional to 106,628 and 246,844

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Solution

The third proportional to 106,628 and 246,844 is: 571,444.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,628 : 246,844 = 246,844 : x
  2. Step 2: Convert to fraction form
    106,628/246,844 = 246,844/x
  3. Step 3: Cross multiply
    106,628x = 246,844 × 246,844
  4. Step 4: Simplify right side
    106,628x = 60,931,960,336
  5. Step 5: Solve for x
    x = 60,931,960,336/106,628
  6. Step 6: Final answer
    x = 571,444.28

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.