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Finding the Third Proportional to 237,897 and 350,271

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Solution

The third proportional to 237,897 and 350,271 is: 515,726.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,897 : 350,271 = 350,271 : x
  2. Step 2: Convert to fraction form
    237,897/350,271 = 350,271/x
  3. Step 3: Cross multiply
    237,897x = 350,271 × 350,271
  4. Step 4: Simplify right side
    237,897x = 122,689,773,441
  5. Step 5: Solve for x
    x = 122,689,773,441/237,897
  6. Step 6: Final answer
    x = 515,726.44

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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.