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Finding the Third Proportional to 176,694 and 273,897

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Solution

The third proportional to 176,694 and 273,897 is: 424,573.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,694 : 273,897 = 273,897 : x
  2. Step 2: Convert to fraction form
    176,694/273,897 = 273,897/x
  3. Step 3: Cross multiply
    176,694x = 273,897 × 273,897
  4. Step 4: Simplify right side
    176,694x = 75,019,566,609
  5. Step 5: Solve for x
    x = 75,019,566,609/176,694
  6. Step 6: Final answer
    x = 424,573.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.