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Finding the Third Proportional to 114,292 and 177,666

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Solution

The third proportional to 114,292 and 177,666 is: 276,180.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,292 : 177,666 = 177,666 : x
  2. Step 2: Convert to fraction form
    114,292/177,666 = 177,666/x
  3. Step 3: Cross multiply
    114,292x = 177,666 × 177,666
  4. Step 4: Simplify right side
    114,292x = 31,565,207,556
  5. Step 5: Solve for x
    x = 31,565,207,556/114,292
  6. Step 6: Final answer
    x = 276,180.38

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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.