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Finding the Third Proportional to 233,988 and 334,367

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Solution

The third proportional to 233,988 and 334,367 is: 477,807.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,988 : 334,367 = 334,367 : x
  2. Step 2: Convert to fraction form
    233,988/334,367 = 334,367/x
  3. Step 3: Cross multiply
    233,988x = 334,367 × 334,367
  4. Step 4: Simplify right side
    233,988x = 111,801,290,689
  5. Step 5: Solve for x
    x = 111,801,290,689/233,988
  6. Step 6: Final answer
    x = 477,807.80

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.