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Finding the Third Proportional to 233,728 and 334,201

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Solution

The third proportional to 233,728 and 334,201 is: 477,864.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,728 : 334,201 = 334,201 : x
  2. Step 2: Convert to fraction form
    233,728/334,201 = 334,201/x
  3. Step 3: Cross multiply
    233,728x = 334,201 × 334,201
  4. Step 4: Simplify right side
    233,728x = 111,690,308,401
  5. Step 5: Solve for x
    x = 111,690,308,401/233,728
  6. Step 6: Final answer
    x = 477,864.48

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1.5x scale

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.