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Finding the Third Proportional to 228,000 and 350,928

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Solution

The third proportional to 228,000 and 350,928 is: 540,133.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,000 : 350,928 = 350,928 : x
  2. Step 2: Convert to fraction form
    228,000/350,928 = 350,928/x
  3. Step 3: Cross multiply
    228,000x = 350,928 × 350,928
  4. Step 4: Simplify right side
    228,000x = 123,150,461,184
  5. Step 5: Solve for x
    x = 123,150,461,184/228,000
  6. Step 6: Final answer
    x = 540,133.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.