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Finding the Third Proportional to 235,395.75 and 302,243.63

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Solution

The third proportional to 235,395.75 and 302,243.63 is: 388,075.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,395.75 : 302,243.63 = 302,243.63 : x
  2. Step 2: Convert to fraction form
    235,395.75/302,243.63 = 302,243.63/x
  3. Step 3: Cross multiply
    235,395.75x = 302,243.63 × 302,243.63
  4. Step 4: Simplify right side
    235,395.75x = 91,351,208,853.14
  5. Step 5: Solve for x
    x = 91,351,208,853.14/235,395.75
  6. Step 6: Final answer
    x = 388,075.01

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.