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Finding the Third Proportional to 155,536 and 230,021

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Solution

The third proportional to 155,536 and 230,021 is: 340,176.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,536 : 230,021 = 230,021 : x
  2. Step 2: Convert to fraction form
    155,536/230,021 = 230,021/x
  3. Step 3: Cross multiply
    155,536x = 230,021 × 230,021
  4. Step 4: Simplify right side
    155,536x = 52,909,660,441
  5. Step 5: Solve for x
    x = 52,909,660,441/155,536
  6. Step 6: Final answer
    x = 340,176.30

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.