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Finding the Third Proportional to 229,214 and 350,409

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Solution

The third proportional to 229,214 and 350,409 is: 535,684.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,214 : 350,409 = 350,409 : x
  2. Step 2: Convert to fraction form
    229,214/350,409 = 350,409/x
  3. Step 3: Cross multiply
    229,214x = 350,409 × 350,409
  4. Step 4: Simplify right side
    229,214x = 122,786,467,281
  5. Step 5: Solve for x
    x = 122,786,467,281/229,214
  6. Step 6: Final answer
    x = 535,684.85

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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.