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Finding the Third Proportional to 105,232.08 and 230,837.34

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Solution

The third proportional to 105,232.08 and 230,837.34 is: 506,365.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,232.08 : 230,837.34 = 230,837.34 : x
  2. Step 2: Convert to fraction form
    105,232.08/230,837.34 = 230,837.34/x
  3. Step 3: Cross multiply
    105,232.08x = 230,837.34 × 230,837.34
  4. Step 4: Simplify right side
    105,232.08x = 53,285,879,269.56
  5. Step 5: Solve for x
    x = 53,285,879,269.56/105,232.08
  6. Step 6: Final answer
    x = 506,365.36

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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.