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Finding the Third Proportional to 168,009.19 and 260,085.94

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Solution

The third proportional to 168,009.19 and 260,085.94 is: 402,624.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,009.19 : 260,085.94 = 260,085.94 : x
  2. Step 2: Convert to fraction form
    168,009.19/260,085.94 = 260,085.94/x
  3. Step 3: Cross multiply
    168,009.19x = 260,085.94 × 260,085.94
  4. Step 4: Simplify right side
    168,009.19x = 67,644,694,885.25
  5. Step 5: Solve for x
    x = 67,644,694,885.25/168,009.19
  6. Step 6: Final answer
    x = 402,624.97

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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.