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Finding the Third Proportional to 141,390.25 and 303,017.75

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Solution

The third proportional to 141,390.25 and 303,017.75 is: 649,406.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,390.25 : 303,017.75 = 303,017.75 : x
  2. Step 2: Convert to fraction form
    141,390.25/303,017.75 = 303,017.75/x
  3. Step 3: Cross multiply
    141,390.25x = 303,017.75 × 303,017.75
  4. Step 4: Simplify right side
    141,390.25x = 91,819,756,815.06
  5. Step 5: Solve for x
    x = 91,819,756,815.06/141,390.25
  6. Step 6: Final answer
    x = 649,406.57

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.