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Finding the Third Proportional to 153,039 and 330,669

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Solution

The third proportional to 153,039 and 330,669 is: 714,471.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,039 : 330,669 = 330,669 : x
  2. Step 2: Convert to fraction form
    153,039/330,669 = 330,669/x
  3. Step 3: Cross multiply
    153,039x = 330,669 × 330,669
  4. Step 4: Simplify right side
    153,039x = 109,341,987,561
  5. Step 5: Solve for x
    x = 109,341,987,561/153,039
  6. Step 6: Final answer
    x = 714,471.39

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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.