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Finding the Third Proportional to 226,093 and 359,895

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Solution

The third proportional to 226,093 and 359,895 is: 572,881.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,093 : 359,895 = 359,895 : x
  2. Step 2: Convert to fraction form
    226,093/359,895 = 359,895/x
  3. Step 3: Cross multiply
    226,093x = 359,895 × 359,895
  4. Step 4: Simplify right side
    226,093x = 129,524,411,025
  5. Step 5: Solve for x
    x = 129,524,411,025/226,093
  6. Step 6: Final answer
    x = 572,881.12

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.