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Finding the Third Proportional to 237,948 and 350,343

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Solution

The third proportional to 237,948 and 350,343 is: 515,827.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,948 : 350,343 = 350,343 : x
  2. Step 2: Convert to fraction form
    237,948/350,343 = 350,343/x
  3. Step 3: Cross multiply
    237,948x = 350,343 × 350,343
  4. Step 4: Simplify right side
    237,948x = 122,740,217,649
  5. Step 5: Solve for x
    x = 122,740,217,649/237,948
  6. Step 6: Final answer
    x = 515,827.90

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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.