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Finding the Third Proportional to 254,313 and 345,394.13

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Solution

The third proportional to 254,313 and 345,394.13 is: 469,095.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,313 : 345,394.13 = 345,394.13 : x
  2. Step 2: Convert to fraction form
    254,313/345,394.13 = 345,394.13/x
  3. Step 3: Cross multiply
    254,313x = 345,394.13 × 345,394.13
  4. Step 4: Simplify right side
    254,313x = 119,297,101,584.52
  5. Step 5: Solve for x
    x = 119,297,101,584.52/254,313
  6. Step 6: Final answer
    x = 469,095.57

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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.