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Finding the Third Proportional to 168,064.50 and 361,617

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Solution

The third proportional to 168,064.50 and 361,617 is: 778,075.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,064.50 : 361,617 = 361,617 : x
  2. Step 2: Convert to fraction form
    168,064.50/361,617 = 361,617/x
  3. Step 3: Cross multiply
    168,064.50x = 361,617 × 361,617
  4. Step 4: Simplify right side
    168,064.50x = 130,766,854,689
  5. Step 5: Solve for x
    x = 130,766,854,689/168,064.50
  6. Step 6: Final answer
    x = 778,075.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.