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Finding the Third Proportional to 105,104 and 230,648

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Solution

The third proportional to 105,104 and 230,648 is: 506,151.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,104 : 230,648 = 230,648 : x
  2. Step 2: Convert to fraction form
    105,104/230,648 = 230,648/x
  3. Step 3: Cross multiply
    105,104x = 230,648 × 230,648
  4. Step 4: Simplify right side
    105,104x = 53,198,499,904
  5. Step 5: Solve for x
    x = 53,198,499,904/105,104
  6. Step 6: Final answer
    x = 506,151.05

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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.