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Finding the Third Proportional to 222,042 and 343,673

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Solution

The third proportional to 222,042 and 343,673 is: 531,931.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,042 : 343,673 = 343,673 : x
  2. Step 2: Convert to fraction form
    222,042/343,673 = 343,673/x
  3. Step 3: Cross multiply
    222,042x = 343,673 × 343,673
  4. Step 4: Simplify right side
    222,042x = 118,111,130,929
  5. Step 5: Solve for x
    x = 118,111,130,929/222,042
  6. Step 6: Final answer
    x = 531,931.49

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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.