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Finding the Third Proportional to 139,515.38 and 302,814.38

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Solution

The third proportional to 139,515.38 and 302,814.38 is: 657,250.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,515.38 : 302,814.38 = 302,814.38 : x
  2. Step 2: Convert to fraction form
    139,515.38/302,814.38 = 302,814.38/x
  3. Step 3: Cross multiply
    139,515.38x = 302,814.38 × 302,814.38
  4. Step 4: Simplify right side
    139,515.38x = 91,696,545,706.64
  5. Step 5: Solve for x
    x = 91,696,545,706.64/139,515.38
  6. Step 6: Final answer
    x = 657,250.47

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.