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Finding the Third Proportional to 212,262.75 and 313,534.13

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Solution

The third proportional to 212,262.75 and 313,534.13 is: 463,122.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,262.75 : 313,534.13 = 313,534.13 : x
  2. Step 2: Convert to fraction form
    212,262.75/313,534.13 = 313,534.13/x
  3. Step 3: Cross multiply
    212,262.75x = 313,534.13 × 313,534.13
  4. Step 4: Simplify right side
    212,262.75x = 98,303,647,539.52
  5. Step 5: Solve for x
    x = 98,303,647,539.52/212,262.75
  6. Step 6: Final answer
    x = 463,122.46

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.