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Finding the Third Proportional to 114,364 and 177,774

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Solution

The third proportional to 114,364 and 177,774 is: 276,342.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,364 : 177,774 = 177,774 : x
  2. Step 2: Convert to fraction form
    114,364/177,774 = 177,774/x
  3. Step 3: Cross multiply
    114,364x = 177,774 × 177,774
  4. Step 4: Simplify right side
    114,364x = 31,603,595,076
  5. Step 5: Solve for x
    x = 31,603,595,076/114,364
  6. Step 6: Final answer
    x = 276,342.16

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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.