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Finding the Third Proportional to 201,975.19 and 313,169.91

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Solution

The third proportional to 201,975.19 and 313,169.91 is: 485,581.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,975.19 : 313,169.91 = 313,169.91 : x
  2. Step 2: Convert to fraction form
    201,975.19/313,169.91 = 313,169.91/x
  3. Step 3: Cross multiply
    201,975.19x = 313,169.91 × 313,169.91
  4. Step 4: Simplify right side
    201,975.19x = 98,075,390,180.63
  5. Step 5: Solve for x
    x = 98,075,390,180.63/201,975.19
  6. Step 6: Final answer
    x = 485,581.38

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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.