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Finding the Third Proportional to 155,230 and 234,059

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Solution

The third proportional to 155,230 and 234,059 is: 352,918.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,230 : 234,059 = 234,059 : x
  2. Step 2: Convert to fraction form
    155,230/234,059 = 234,059/x
  3. Step 3: Cross multiply
    155,230x = 234,059 × 234,059
  4. Step 4: Simplify right side
    155,230x = 54,783,615,481
  5. Step 5: Solve for x
    x = 54,783,615,481/155,230
  6. Step 6: Final answer
    x = 352,918.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.