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Finding the Third Proportional to 222,786 and 344,733

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Solution

The third proportional to 222,786 and 344,733 is: 533,430.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,786 : 344,733 = 344,733 : x
  2. Step 2: Convert to fraction form
    222,786/344,733 = 344,733/x
  3. Step 3: Cross multiply
    222,786x = 344,733 × 344,733
  4. Step 4: Simplify right side
    222,786x = 118,840,841,289
  5. Step 5: Solve for x
    x = 118,840,841,289/222,786
  6. Step 6: Final answer
    x = 533,430.47

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.