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Finding the Third Proportional to 155,536 and 233,897

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Solution

The third proportional to 155,536 and 233,897 is: 351,737.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,536 : 233,897 = 233,897 : x
  2. Step 2: Convert to fraction form
    155,536/233,897 = 233,897/x
  3. Step 3: Cross multiply
    155,536x = 233,897 × 233,897
  4. Step 4: Simplify right side
    155,536x = 54,707,806,609
  5. Step 5: Solve for x
    x = 54,707,806,609/155,536
  6. Step 6: Final answer
    x = 351,737.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.