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Finding the Third Proportional to 233,212 and 368,700

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Solution

The third proportional to 233,212 and 368,700 is: 582,901.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,212 : 368,700 = 368,700 : x
  2. Step 2: Convert to fraction form
    233,212/368,700 = 368,700/x
  3. Step 3: Cross multiply
    233,212x = 368,700 × 368,700
  4. Step 4: Simplify right side
    233,212x = 135,939,690,000
  5. Step 5: Solve for x
    x = 135,939,690,000/233,212
  6. Step 6: Final answer
    x = 582,901.78

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.