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Finding the Third Proportional to 233,544 and 361,212

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Solution

The third proportional to 233,544 and 361,212 is: 558,670.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,544 : 361,212 = 361,212 : x
  2. Step 2: Convert to fraction form
    233,544/361,212 = 361,212/x
  3. Step 3: Cross multiply
    233,544x = 361,212 × 361,212
  4. Step 4: Simplify right side
    233,544x = 130,474,108,944
  5. Step 5: Solve for x
    x = 130,474,108,944/233,544
  6. Step 6: Final answer
    x = 558,670.35

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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.