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Finding the Third Proportional to 233,986.22 and 334,364.20

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Solution

The third proportional to 233,986.22 and 334,364.20 is: 477,803.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,986.22 : 334,364.20 = 334,364.20 : x
  2. Step 2: Convert to fraction form
    233,986.22/334,364.20 = 334,364.20/x
  3. Step 3: Cross multiply
    233,986.22x = 334,364.20 × 334,364.20
  4. Step 4: Simplify right side
    233,986.22x = 111,799,420,331.42
  5. Step 5: Solve for x
    x = 111,799,420,331.42/233,986.22
  6. Step 6: Final answer
    x = 477,803.44

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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.