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Finding the Third Proportional to 144,384 and 230,400

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Solution

The third proportional to 144,384 and 230,400 is: 367,659.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,384 : 230,400 = 230,400 : x
  2. Step 2: Convert to fraction form
    144,384/230,400 = 230,400/x
  3. Step 3: Cross multiply
    144,384x = 230,400 × 230,400
  4. Step 4: Simplify right side
    144,384x = 53,084,160,000
  5. Step 5: Solve for x
    x = 53,084,160,000/144,384
  6. Step 6: Final answer
    x = 367,659.57

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.