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Finding the Third Proportional to 115,470 and 240,012

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Solution

The third proportional to 115,470 and 240,012 is: 498,880.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,470 : 240,012 = 240,012 : x
  2. Step 2: Convert to fraction form
    115,470/240,012 = 240,012/x
  3. Step 3: Cross multiply
    115,470x = 240,012 × 240,012
  4. Step 4: Simplify right side
    115,470x = 57,605,760,144
  5. Step 5: Solve for x
    x = 57,605,760,144/115,470
  6. Step 6: Final answer
    x = 498,880.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.