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Finding the Third Proportional to 142,992 and 332,444.25

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Solution

The third proportional to 142,992 and 332,444.25 is: 772,904.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,992 : 332,444.25 = 332,444.25 : x
  2. Step 2: Convert to fraction form
    142,992/332,444.25 = 332,444.25/x
  3. Step 3: Cross multiply
    142,992x = 332,444.25 × 332,444.25
  4. Step 4: Simplify right side
    142,992x = 110,519,179,358.06
  5. Step 5: Solve for x
    x = 110,519,179,358.06/142,992
  6. Step 6: Final answer
    x = 772,904.63

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.