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Finding the Third Proportional to 229,054 and 356,669

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Solution

The third proportional to 229,054 and 356,669 is: 555,383.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,054 : 356,669 = 356,669 : x
  2. Step 2: Convert to fraction form
    229,054/356,669 = 356,669/x
  3. Step 3: Cross multiply
    229,054x = 356,669 × 356,669
  4. Step 4: Simplify right side
    229,054x = 127,212,775,561
  5. Step 5: Solve for x
    x = 127,212,775,561/229,054
  6. Step 6: Final answer
    x = 555,383.34

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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.