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Finding the Third Proportional to 105,970 and 232,855

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Solution

The third proportional to 105,970 and 232,855 is: 511,667.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,970 : 232,855 = 232,855 : x
  2. Step 2: Convert to fraction form
    105,970/232,855 = 232,855/x
  3. Step 3: Cross multiply
    105,970x = 232,855 × 232,855
  4. Step 4: Simplify right side
    105,970x = 54,221,451,025
  5. Step 5: Solve for x
    x = 54,221,451,025/105,970
  6. Step 6: Final answer
    x = 511,667.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.