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Finding the Third Proportional to 229,191 and 349,719

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Solution

The third proportional to 229,191 and 349,719 is: 533,630.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,191 : 349,719 = 349,719 : x
  2. Step 2: Convert to fraction form
    229,191/349,719 = 349,719/x
  3. Step 3: Cross multiply
    229,191x = 349,719 × 349,719
  4. Step 4: Simplify right side
    229,191x = 122,303,378,961
  5. Step 5: Solve for x
    x = 122,303,378,961/229,191
  6. Step 6: Final answer
    x = 533,630.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.