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Finding the Third Proportional to 165,768 and 254,377

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Solution

The third proportional to 165,768 and 254,377 is: 390,350.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,768 : 254,377 = 254,377 : x
  2. Step 2: Convert to fraction form
    165,768/254,377 = 254,377/x
  3. Step 3: Cross multiply
    165,768x = 254,377 × 254,377
  4. Step 4: Simplify right side
    165,768x = 64,707,658,129
  5. Step 5: Solve for x
    x = 64,707,658,129/165,768
  6. Step 6: Final answer
    x = 390,350.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.