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Finding the Third Proportional to 168,182.50 and 260,680.50

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Solution

The third proportional to 168,182.50 and 260,680.50 is: 404,051.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,182.50 : 260,680.50 = 260,680.50 : x
  2. Step 2: Convert to fraction form
    168,182.50/260,680.50 = 260,680.50/x
  3. Step 3: Cross multiply
    168,182.50x = 260,680.50 × 260,680.50
  4. Step 4: Simplify right side
    168,182.50x = 67,954,323,080.25
  5. Step 5: Solve for x
    x = 67,954,323,080.25/168,182.50
  6. Step 6: Final answer
    x = 404,051.09

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.