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Finding the Third Proportional to 237,920 and 347,946

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Solution

The third proportional to 237,920 and 347,946 is: 508,853.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,920 : 347,946 = 347,946 : x
  2. Step 2: Convert to fraction form
    237,920/347,946 = 347,946/x
  3. Step 3: Cross multiply
    237,920x = 347,946 × 347,946
  4. Step 4: Simplify right side
    237,920x = 121,066,418,916
  5. Step 5: Solve for x
    x = 121,066,418,916/237,920
  6. Step 6: Final answer
    x = 508,853.48

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.