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Finding the Third Proportional to 237,266 and 366,985

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Solution

The third proportional to 237,266 and 366,985 is: 567,624.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,266 : 366,985 = 366,985 : x
  2. Step 2: Convert to fraction form
    237,266/366,985 = 366,985/x
  3. Step 3: Cross multiply
    237,266x = 366,985 × 366,985
  4. Step 4: Simplify right side
    237,266x = 134,677,990,225
  5. Step 5: Solve for x
    x = 134,677,990,225/237,266
  6. Step 6: Final answer
    x = 567,624.48

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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.