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Finding the Third Proportional to 151,886 and 235,788

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Solution

The third proportional to 151,886 and 235,788 is: 366,037.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,886 : 235,788 = 235,788 : x
  2. Step 2: Convert to fraction form
    151,886/235,788 = 235,788/x
  3. Step 3: Cross multiply
    151,886x = 235,788 × 235,788
  4. Step 4: Simplify right side
    151,886x = 55,595,980,944
  5. Step 5: Solve for x
    x = 55,595,980,944/151,886
  6. Step 6: Final answer
    x = 366,037.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.