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Finding the Third Proportional to 165,296 and 245,514

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Solution

The third proportional to 165,296 and 245,514 is: 364,661.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,296 : 245,514 = 245,514 : x
  2. Step 2: Convert to fraction form
    165,296/245,514 = 245,514/x
  3. Step 3: Cross multiply
    165,296x = 245,514 × 245,514
  4. Step 4: Simplify right side
    165,296x = 60,277,124,196
  5. Step 5: Solve for x
    x = 60,277,124,196/165,296
  6. Step 6: Final answer
    x = 364,661.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.