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Finding the Third Proportional to 227,376 and 353,052

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Solution

The third proportional to 227,376 and 353,052 is: 548,192.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,376 : 353,052 = 353,052 : x
  2. Step 2: Convert to fraction form
    227,376/353,052 = 353,052/x
  3. Step 3: Cross multiply
    227,376x = 353,052 × 353,052
  4. Step 4: Simplify right side
    227,376x = 124,645,714,704
  5. Step 5: Solve for x
    x = 124,645,714,704/227,376
  6. Step 6: Final answer
    x = 548,192.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.