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Finding the Third Proportional to 229,043 and 356,652

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Solution

The third proportional to 229,043 and 356,652 is: 555,357.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,043 : 356,652 = 356,652 : x
  2. Step 2: Convert to fraction form
    229,043/356,652 = 356,652/x
  3. Step 3: Cross multiply
    229,043x = 356,652 × 356,652
  4. Step 4: Simplify right side
    229,043x = 127,200,649,104
  5. Step 5: Solve for x
    x = 127,200,649,104/229,043
  6. Step 6: Final answer
    x = 555,357.07

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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.