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Finding the Third Proportional to 229,268 and 350,486

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Solution

The third proportional to 229,268 and 350,486 is: 535,794.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,268 : 350,486 = 350,486 : x
  2. Step 2: Convert to fraction form
    229,268/350,486 = 350,486/x
  3. Step 3: Cross multiply
    229,268x = 350,486 × 350,486
  4. Step 4: Simplify right side
    229,268x = 122,840,436,196
  5. Step 5: Solve for x
    x = 122,840,436,196/229,268
  6. Step 6: Final answer
    x = 535,794.08

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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.