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Finding the Third Proportional to 228,828 and 341,946

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Solution

The third proportional to 228,828 and 341,946 is: 510,982.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,828 : 341,946 = 341,946 : x
  2. Step 2: Convert to fraction form
    228,828/341,946 = 341,946/x
  3. Step 3: Cross multiply
    228,828x = 341,946 × 341,946
  4. Step 4: Simplify right side
    228,828x = 116,927,066,916
  5. Step 5: Solve for x
    x = 116,927,066,916/228,828
  6. Step 6: Final answer
    x = 510,982.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.