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Finding the Third Proportional to 246,620 and 369,255

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Solution

The third proportional to 246,620 and 369,255 is: 552,871.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,620 : 369,255 = 369,255 : x
  2. Step 2: Convert to fraction form
    246,620/369,255 = 369,255/x
  3. Step 3: Cross multiply
    246,620x = 369,255 × 369,255
  4. Step 4: Simplify right side
    246,620x = 136,349,255,025
  5. Step 5: Solve for x
    x = 136,349,255,025/246,620
  6. Step 6: Final answer
    x = 552,871.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.