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Finding the Third Proportional to 188,012 and 287,970

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Solution

The third proportional to 188,012 and 287,970 is: 441,071.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,012 : 287,970 = 287,970 : x
  2. Step 2: Convert to fraction form
    188,012/287,970 = 287,970/x
  3. Step 3: Cross multiply
    188,012x = 287,970 × 287,970
  4. Step 4: Simplify right side
    188,012x = 82,926,720,900
  5. Step 5: Solve for x
    x = 82,926,720,900/188,012
  6. Step 6: Final answer
    x = 441,071.43

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Why These Related Problems?

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