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Finding the Third Proportional to 222,688 and 344,852

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Solution

The third proportional to 222,688 and 344,852 is: 534,033.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,688 : 344,852 = 344,852 : x
  2. Step 2: Convert to fraction form
    222,688/344,852 = 344,852/x
  3. Step 3: Cross multiply
    222,688x = 344,852 × 344,852
  4. Step 4: Simplify right side
    222,688x = 118,922,901,904
  5. Step 5: Solve for x
    x = 118,922,901,904/222,688
  6. Step 6: Final answer
    x = 534,033.72

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Why These Related Problems?

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