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Finding the Third Proportional to 153,041 and 330,673

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Solution

The third proportional to 153,041 and 330,673 is: 714,479.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,041 : 330,673 = 330,673 : x
  2. Step 2: Convert to fraction form
    153,041/330,673 = 330,673/x
  3. Step 3: Cross multiply
    153,041x = 330,673 × 330,673
  4. Step 4: Simplify right side
    153,041x = 109,344,632,929
  5. Step 5: Solve for x
    x = 109,344,632,929/153,041
  6. Step 6: Final answer
    x = 714,479.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.