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Finding the Third Proportional to 153,006 and 332,679

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Solution

The third proportional to 153,006 and 332,679 is: 723,339.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,006 : 332,679 = 332,679 : x
  2. Step 2: Convert to fraction form
    153,006/332,679 = 332,679/x
  3. Step 3: Cross multiply
    153,006x = 332,679 × 332,679
  4. Step 4: Simplify right side
    153,006x = 110,675,317,041
  5. Step 5: Solve for x
    x = 110,675,317,041/153,006
  6. Step 6: Final answer
    x = 723,339.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.