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Finding the Third Proportional to 255,260 and 365,367

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Solution

The third proportional to 255,260 and 365,367 is: 522,968.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,260 : 365,367 = 365,367 : x
  2. Step 2: Convert to fraction form
    255,260/365,367 = 365,367/x
  3. Step 3: Cross multiply
    255,260x = 365,367 × 365,367
  4. Step 4: Simplify right side
    255,260x = 133,493,044,689
  5. Step 5: Solve for x
    x = 133,493,044,689/255,260
  6. Step 6: Final answer
    x = 522,968.91

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.