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Finding the Third Proportional to 201,512.25 and 314,525.25

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Solution

The third proportional to 201,512.25 and 314,525.25 is: 490,918.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,512.25 : 314,525.25 = 314,525.25 : x
  2. Step 2: Convert to fraction form
    201,512.25/314,525.25 = 314,525.25/x
  3. Step 3: Cross multiply
    201,512.25x = 314,525.25 × 314,525.25
  4. Step 4: Simplify right side
    201,512.25x = 98,926,132,887.56
  5. Step 5: Solve for x
    x = 98,926,132,887.56/201,512.25
  6. Step 6: Final answer
    x = 490,918.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.