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Finding the Third Proportional to 201,809.25 and 312,462

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Solution

The third proportional to 201,809.25 and 312,462 is: 483,786.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,809.25 : 312,462 = 312,462 : x
  2. Step 2: Convert to fraction form
    201,809.25/312,462 = 312,462/x
  3. Step 3: Cross multiply
    201,809.25x = 312,462 × 312,462
  4. Step 4: Simplify right side
    201,809.25x = 97,632,501,444
  5. Step 5: Solve for x
    x = 97,632,501,444/201,809.25
  6. Step 6: Final answer
    x = 483,786.06

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.