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Finding the Third Proportional to 181,265.25 and 388,770

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Solution

The third proportional to 181,265.25 and 388,770 is: 833,817.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,265.25 : 388,770 = 388,770 : x
  2. Step 2: Convert to fraction form
    181,265.25/388,770 = 388,770/x
  3. Step 3: Cross multiply
    181,265.25x = 388,770 × 388,770
  4. Step 4: Simplify right side
    181,265.25x = 151,142,112,900
  5. Step 5: Solve for x
    x = 151,142,112,900/181,265.25
  6. Step 6: Final answer
    x = 833,817.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.