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Finding the Third Proportional to 237,226 and 366,920

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Solution

The third proportional to 237,226 and 366,920 is: 567,519.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,226 : 366,920 = 366,920 : x
  2. Step 2: Convert to fraction form
    237,226/366,920 = 366,920/x
  3. Step 3: Cross multiply
    237,226x = 366,920 × 366,920
  4. Step 4: Simplify right side
    237,226x = 134,630,286,400
  5. Step 5: Solve for x
    x = 134,630,286,400/237,226
  6. Step 6: Final answer
    x = 567,519.10

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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.