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Finding the Third Proportional to 105,994 and 230,394

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Solution

The third proportional to 105,994 and 230,394 is: 500,796.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,994 : 230,394 = 230,394 : x
  2. Step 2: Convert to fraction form
    105,994/230,394 = 230,394/x
  3. Step 3: Cross multiply
    105,994x = 230,394 × 230,394
  4. Step 4: Simplify right side
    105,994x = 53,081,395,236
  5. Step 5: Solve for x
    x = 53,081,395,236/105,994
  6. Step 6: Final answer
    x = 500,796.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.