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Finding the Third Proportional to 237,945 and 350,338.50

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Solution

The third proportional to 237,945 and 350,338.50 is: 515,821.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,945 : 350,338.50 = 350,338.50 : x
  2. Step 2: Convert to fraction form
    237,945/350,338.50 = 350,338.50/x
  3. Step 3: Cross multiply
    237,945x = 350,338.50 × 350,338.50
  4. Step 4: Simplify right side
    237,945x = 122,737,064,582.25
  5. Step 5: Solve for x
    x = 122,737,064,582.25/237,945
  6. Step 6: Final answer
    x = 515,821.15

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Why These Related Problems?

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