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Finding the Third Proportional to 228,074 and 349,838

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Solution

The third proportional to 228,074 and 349,838 is: 536,609.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,074 : 349,838 = 349,838 : x
  2. Step 2: Convert to fraction form
    228,074/349,838 = 349,838/x
  3. Step 3: Cross multiply
    228,074x = 349,838 × 349,838
  4. Step 4: Simplify right side
    228,074x = 122,386,626,244
  5. Step 5: Solve for x
    x = 122,386,626,244/228,074
  6. Step 6: Final answer
    x = 536,609.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.