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Finding the Third Proportional to 229,045 and 356,655

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Solution

The third proportional to 229,045 and 356,655 is: 555,361.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,045 : 356,655 = 356,655 : x
  2. Step 2: Convert to fraction form
    229,045/356,655 = 356,655/x
  3. Step 3: Cross multiply
    229,045x = 356,655 × 356,655
  4. Step 4: Simplify right side
    229,045x = 127,202,789,025
  5. Step 5: Solve for x
    x = 127,202,789,025/229,045
  6. Step 6: Final answer
    x = 555,361.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.