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Finding the Third Proportional to 233,460 and 341,910

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Solution

The third proportional to 233,460 and 341,910 is: 500,738.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,460 : 341,910 = 341,910 : x
  2. Step 2: Convert to fraction form
    233,460/341,910 = 341,910/x
  3. Step 3: Cross multiply
    233,460x = 341,910 × 341,910
  4. Step 4: Simplify right side
    233,460x = 116,902,448,100
  5. Step 5: Solve for x
    x = 116,902,448,100/233,460
  6. Step 6: Final answer
    x = 500,738.66

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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.