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Finding the Third Proportional to 181,890 and 372,527

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Solution

The third proportional to 181,890 and 372,527 is: 762,968.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,890 : 372,527 = 372,527 : x
  2. Step 2: Convert to fraction form
    181,890/372,527 = 372,527/x
  3. Step 3: Cross multiply
    181,890x = 372,527 × 372,527
  4. Step 4: Simplify right side
    181,890x = 138,776,365,729
  5. Step 5: Solve for x
    x = 138,776,365,729/181,890
  6. Step 6: Final answer
    x = 762,968.64

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.