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Finding the Third Proportional to 229,191 and 344,219

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Solution

The third proportional to 229,191 and 344,219 is: 516,978.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,191 : 344,219 = 344,219 : x
  2. Step 2: Convert to fraction form
    229,191/344,219 = 344,219/x
  3. Step 3: Cross multiply
    229,191x = 344,219 × 344,219
  4. Step 4: Simplify right side
    229,191x = 118,486,719,961
  5. Step 5: Solve for x
    x = 118,486,719,961/229,191
  6. Step 6: Final answer
    x = 516,978.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.