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Finding the Third Proportional to 143,928 and 293,580

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Solution

The third proportional to 143,928 and 293,580 is: 598,835.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,928 : 293,580 = 293,580 : x
  2. Step 2: Convert to fraction form
    143,928/293,580 = 293,580/x
  3. Step 3: Cross multiply
    143,928x = 293,580 × 293,580
  4. Step 4: Simplify right side
    143,928x = 86,189,216,400
  5. Step 5: Solve for x
    x = 86,189,216,400/143,928
  6. Step 6: Final answer
    x = 598,835.64

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.