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Finding the Third Proportional to 233,910 and 361,890

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Solution

The third proportional to 233,910 and 361,890 is: 559,892.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,910 : 361,890 = 361,890 : x
  2. Step 2: Convert to fraction form
    233,910/361,890 = 361,890/x
  3. Step 3: Cross multiply
    233,910x = 361,890 × 361,890
  4. Step 4: Simplify right side
    233,910x = 130,964,372,100
  5. Step 5: Solve for x
    x = 130,964,372,100/233,910
  6. Step 6: Final answer
    x = 559,892.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.