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Finding the Third Proportional to 237,922 and 350,308.50

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Solution

The third proportional to 237,922 and 350,308.50 is: 515,782.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,922 : 350,308.50 = 350,308.50 : x
  2. Step 2: Convert to fraction form
    237,922/350,308.50 = 350,308.50/x
  3. Step 3: Cross multiply
    237,922x = 350,308.50 × 350,308.50
  4. Step 4: Simplify right side
    237,922x = 122,716,045,172.25
  5. Step 5: Solve for x
    x = 122,716,045,172.25/237,922
  6. Step 6: Final answer
    x = 515,782.67

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.