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Finding the Third Proportional to 227,446 and 356,751

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Solution

The third proportional to 227,446 and 356,751 is: 559,567.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,446 : 356,751 = 356,751 : x
  2. Step 2: Convert to fraction form
    227,446/356,751 = 356,751/x
  3. Step 3: Cross multiply
    227,446x = 356,751 × 356,751
  4. Step 4: Simplify right side
    227,446x = 127,271,276,001
  5. Step 5: Solve for x
    x = 127,271,276,001/227,446
  6. Step 6: Final answer
    x = 559,567.00

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.