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Finding the Third Proportional to 165,762 and 254,925

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Solution

The third proportional to 165,762 and 254,925 is: 392,048.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,762 : 254,925 = 254,925 : x
  2. Step 2: Convert to fraction form
    165,762/254,925 = 254,925/x
  3. Step 3: Cross multiply
    165,762x = 254,925 × 254,925
  4. Step 4: Simplify right side
    165,762x = 64,986,755,625
  5. Step 5: Solve for x
    x = 64,986,755,625/165,762
  6. Step 6: Final answer
    x = 392,048.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.