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Finding the Third Proportional to 237,897 and 322,935

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Solution

The third proportional to 237,897 and 322,935 is: 438,370.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,897 : 322,935 = 322,935 : x
  2. Step 2: Convert to fraction form
    237,897/322,935 = 322,935/x
  3. Step 3: Cross multiply
    237,897x = 322,935 × 322,935
  4. Step 4: Simplify right side
    237,897x = 104,287,014,225
  5. Step 5: Solve for x
    x = 104,287,014,225/237,897
  6. Step 6: Final answer
    x = 438,370.45

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.