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Finding the Third Proportional to 254,254 and 345,305

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Solution

The third proportional to 254,254 and 345,305 is: 468,962.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,254 : 345,305 = 345,305 : x
  2. Step 2: Convert to fraction form
    254,254/345,305 = 345,305/x
  3. Step 3: Cross multiply
    254,254x = 345,305 × 345,305
  4. Step 4: Simplify right side
    254,254x = 119,235,543,025
  5. Step 5: Solve for x
    x = 119,235,543,025/254,254
  6. Step 6: Final answer
    x = 468,962.31

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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.