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Finding the Third Proportional to 119,378 and 255,144

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Solution

The third proportional to 119,378 and 255,144 is: 545,313.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,378 : 255,144 = 255,144 : x
  2. Step 2: Convert to fraction form
    119,378/255,144 = 255,144/x
  3. Step 3: Cross multiply
    119,378x = 255,144 × 255,144
  4. Step 4: Simplify right side
    119,378x = 65,098,460,736
  5. Step 5: Solve for x
    x = 65,098,460,736/119,378
  6. Step 6: Final answer
    x = 545,313.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.