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Finding the Third Proportional to 105,110 and 230,656

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Solution

The third proportional to 105,110 and 230,656 is: 506,157.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,110 : 230,656 = 230,656 : x
  2. Step 2: Convert to fraction form
    105,110/230,656 = 230,656/x
  3. Step 3: Cross multiply
    105,110x = 230,656 × 230,656
  4. Step 4: Simplify right side
    105,110x = 53,202,190,336
  5. Step 5: Solve for x
    x = 53,202,190,336/105,110
  6. Step 6: Final answer
    x = 506,157.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.