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Finding the Third Proportional to 254,271 and 345,330

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Solution

The third proportional to 254,271 and 345,330 is: 468,998.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,271 : 345,330 = 345,330 : x
  2. Step 2: Convert to fraction form
    254,271/345,330 = 345,330/x
  3. Step 3: Cross multiply
    254,271x = 345,330 × 345,330
  4. Step 4: Simplify right side
    254,271x = 119,252,808,900
  5. Step 5: Solve for x
    x = 119,252,808,900/254,271
  6. Step 6: Final answer
    x = 468,998.86

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.