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Finding the Third Proportional to 188,886 and 285,148.13

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Solution

The third proportional to 188,886 and 285,148.13 is: 430,468.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,886 : 285,148.13 = 285,148.13 : x
  2. Step 2: Convert to fraction form
    188,886/285,148.13 = 285,148.13/x
  3. Step 3: Cross multiply
    188,886x = 285,148.13 × 285,148.13
  4. Step 4: Simplify right side
    188,886x = 81,309,453,191.02
  5. Step 5: Solve for x
    x = 81,309,453,191.02/188,886
  6. Step 6: Final answer
    x = 430,468.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.