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Finding the Third Proportional to 165,020.63 and 257,392.69

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Solution

The third proportional to 165,020.63 and 257,392.69 is: 401,471.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,020.63 : 257,392.69 = 257,392.69 : x
  2. Step 2: Convert to fraction form
    165,020.63/257,392.69 = 257,392.69/x
  3. Step 3: Cross multiply
    165,020.63x = 257,392.69 × 257,392.69
  4. Step 4: Simplify right side
    165,020.63x = 66,250,995,578.47
  5. Step 5: Solve for x
    x = 66,250,995,578.47/165,020.63
  6. Step 6: Final answer
    x = 401,471.00

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.