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Finding the Third Proportional to 105,652 and 232,040

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Solution

The third proportional to 105,652 and 232,040 is: 509,621.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,652 : 232,040 = 232,040 : x
  2. Step 2: Convert to fraction form
    105,652/232,040 = 232,040/x
  3. Step 3: Cross multiply
    105,652x = 232,040 × 232,040
  4. Step 4: Simplify right side
    105,652x = 53,842,561,600
  5. Step 5: Solve for x
    x = 53,842,561,600/105,652
  6. Step 6: Final answer
    x = 509,621.79

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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.