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Finding the Third Proportional to 226,056 and 357,876

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Solution

The third proportional to 226,056 and 357,876 is: 566,564.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,056 : 357,876 = 357,876 : x
  2. Step 2: Convert to fraction form
    226,056/357,876 = 357,876/x
  3. Step 3: Cross multiply
    226,056x = 357,876 × 357,876
  4. Step 4: Simplify right side
    226,056x = 128,075,231,376
  5. Step 5: Solve for x
    x = 128,075,231,376/226,056
  6. Step 6: Final answer
    x = 566,564.18

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.