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Finding the Third Proportional to 222,445 and 344,726

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Solution

The third proportional to 222,445 and 344,726 is: 534,226.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,445 : 344,726 = 344,726 : x
  2. Step 2: Convert to fraction form
    222,445/344,726 = 344,726/x
  3. Step 3: Cross multiply
    222,445x = 344,726 × 344,726
  4. Step 4: Simplify right side
    222,445x = 118,836,015,076
  5. Step 5: Solve for x
    x = 118,836,015,076/222,445
  6. Step 6: Final answer
    x = 534,226.51

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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.