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Finding the Third Proportional to 181,838.50 and 397,534.75

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Solution

The third proportional to 181,838.50 and 397,534.75 is: 869,089.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,838.50 : 397,534.75 = 397,534.75 : x
  2. Step 2: Convert to fraction form
    181,838.50/397,534.75 = 397,534.75/x
  3. Step 3: Cross multiply
    181,838.50x = 397,534.75 × 397,534.75
  4. Step 4: Simplify right side
    181,838.50x = 158,033,877,457.56
  5. Step 5: Solve for x
    x = 158,033,877,457.56/181,838.50
  6. Step 6: Final answer
    x = 869,089.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.