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Finding the Third Proportional to 161,795.63 and 253,256.25

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Solution

The third proportional to 161,795.63 and 253,256.25 is: 396,418.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,795.63 : 253,256.25 = 253,256.25 : x
  2. Step 2: Convert to fraction form
    161,795.63/253,256.25 = 253,256.25/x
  3. Step 3: Cross multiply
    161,795.63x = 253,256.25 × 253,256.25
  4. Step 4: Simplify right side
    161,795.63x = 64,138,728,164.06
  5. Step 5: Solve for x
    x = 64,138,728,164.06/161,795.63
  6. Step 6: Final answer
    x = 396,418.19

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.