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Finding the Third Proportional to 114,180 and 181,840

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Solution

The third proportional to 114,180 and 181,840 is: 289,593.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,180 : 181,840 = 181,840 : x
  2. Step 2: Convert to fraction form
    114,180/181,840 = 181,840/x
  3. Step 3: Cross multiply
    114,180x = 181,840 × 181,840
  4. Step 4: Simplify right side
    114,180x = 33,065,785,600
  5. Step 5: Solve for x
    x = 33,065,785,600/114,180
  6. Step 6: Final answer
    x = 289,593.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.