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Finding the Third Proportional to 188,010 and 287,973

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Solution

The third proportional to 188,010 and 287,973 is: 441,085.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,010 : 287,973 = 287,973 : x
  2. Step 2: Convert to fraction form
    188,010/287,973 = 287,973/x
  3. Step 3: Cross multiply
    188,010x = 287,973 × 287,973
  4. Step 4: Simplify right side
    188,010x = 82,928,448,729
  5. Step 5: Solve for x
    x = 82,928,448,729/188,010
  6. Step 6: Final answer
    x = 441,085.31

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.