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Finding the Third Proportional to 229,086 and 350,433

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Solution

The third proportional to 229,086 and 350,433 is: 536,057.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,086 : 350,433 = 350,433 : x
  2. Step 2: Convert to fraction form
    229,086/350,433 = 350,433/x
  3. Step 3: Cross multiply
    229,086x = 350,433 × 350,433
  4. Step 4: Simplify right side
    229,086x = 122,803,287,489
  5. Step 5: Solve for x
    x = 122,803,287,489/229,086
  6. Step 6: Final answer
    x = 536,057.58

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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.