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Finding the Third Proportional to 218,370 and 347,247

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Solution

The third proportional to 218,370 and 347,247 is: 552,184.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,370 : 347,247 = 347,247 : x
  2. Step 2: Convert to fraction form
    218,370/347,247 = 347,247/x
  3. Step 3: Cross multiply
    218,370x = 347,247 × 347,247
  4. Step 4: Simplify right side
    218,370x = 120,580,479,009
  5. Step 5: Solve for x
    x = 120,580,479,009/218,370
  6. Step 6: Final answer
    x = 552,184.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.