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Finding the Third Proportional to 114,362 and 177,771

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Solution

The third proportional to 114,362 and 177,771 is: 276,337.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,362 : 177,771 = 177,771 : x
  2. Step 2: Convert to fraction form
    114,362/177,771 = 177,771/x
  3. Step 3: Cross multiply
    114,362x = 177,771 × 177,771
  4. Step 4: Simplify right side
    114,362x = 31,602,528,441
  5. Step 5: Solve for x
    x = 31,602,528,441/114,362
  6. Step 6: Final answer
    x = 276,337.67

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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.