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Finding the Third Proportional to 155,296 and 332,752

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Solution

The third proportional to 155,296 and 332,752 is: 712,986.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,296 : 332,752 = 332,752 : x
  2. Step 2: Convert to fraction form
    155,296/332,752 = 332,752/x
  3. Step 3: Cross multiply
    155,296x = 332,752 × 332,752
  4. Step 4: Simplify right side
    155,296x = 110,723,893,504
  5. Step 5: Solve for x
    x = 110,723,893,504/155,296
  6. Step 6: Final answer
    x = 712,986.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.