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Finding the Third Proportional to 222,570 and 334,287

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Solution

The third proportional to 222,570 and 334,287 is: 502,079.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,570 : 334,287 = 334,287 : x
  2. Step 2: Convert to fraction form
    222,570/334,287 = 334,287/x
  3. Step 3: Cross multiply
    222,570x = 334,287 × 334,287
  4. Step 4: Simplify right side
    222,570x = 111,747,798,369
  5. Step 5: Solve for x
    x = 111,747,798,369/222,570
  6. Step 6: Final answer
    x = 502,079.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.