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Finding the Third Proportional to 181,672.88 and 260,055.56

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Solution

The third proportional to 181,672.88 and 260,055.56 is: 372,256.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,672.88 : 260,055.56 = 260,055.56 : x
  2. Step 2: Convert to fraction form
    181,672.88/260,055.56 = 260,055.56/x
  3. Step 3: Cross multiply
    181,672.88x = 260,055.56 × 260,055.56
  4. Step 4: Simplify right side
    181,672.88x = 67,628,895,587.19
  5. Step 5: Solve for x
    x = 67,628,895,587.19/181,672.88
  6. Step 6: Final answer
    x = 372,256.43

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.