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Finding the Third Proportional to 107,232 and 232,896

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Solution

The third proportional to 107,232 and 232,896 is: 505,824.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,232 : 232,896 = 232,896 : x
  2. Step 2: Convert to fraction form
    107,232/232,896 = 232,896/x
  3. Step 3: Cross multiply
    107,232x = 232,896 × 232,896
  4. Step 4: Simplify right side
    107,232x = 54,240,546,816
  5. Step 5: Solve for x
    x = 54,240,546,816/107,232
  6. Step 6: Final answer
    x = 505,824.26

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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.