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Finding the Third Proportional to 229,046 and 356,657

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Solution

The third proportional to 229,046 and 356,657 is: 555,365.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,046 : 356,657 = 356,657 : x
  2. Step 2: Convert to fraction form
    229,046/356,657 = 356,657/x
  3. Step 3: Cross multiply
    229,046x = 356,657 × 356,657
  4. Step 4: Simplify right side
    229,046x = 127,204,215,649
  5. Step 5: Solve for x
    x = 127,204,215,649/229,046
  6. Step 6: Final answer
    x = 555,365.37

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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.