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Finding the Third Proportional to 132,886 and 201,788

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Solution

The third proportional to 132,886 and 201,788 is: 306,416.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,886 : 201,788 = 201,788 : x
  2. Step 2: Convert to fraction form
    132,886/201,788 = 201,788/x
  3. Step 3: Cross multiply
    132,886x = 201,788 × 201,788
  4. Step 4: Simplify right side
    132,886x = 40,718,396,944
  5. Step 5: Solve for x
    x = 40,718,396,944/132,886
  6. Step 6: Final answer
    x = 306,416.00

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.