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Finding the Third Proportional to 162,089.44 and 260,434.41

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Solution

The third proportional to 162,089.44 and 260,434.41 is: 418,448.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,089.44 : 260,434.41 = 260,434.41 : x
  2. Step 2: Convert to fraction form
    162,089.44/260,434.41 = 260,434.41/x
  3. Step 3: Cross multiply
    162,089.44x = 260,434.41 × 260,434.41
  4. Step 4: Simplify right side
    162,089.44x = 67,826,079,958.79
  5. Step 5: Solve for x
    x = 67,826,079,958.79/162,089.44
  6. Step 6: Final answer
    x = 418,448.49

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.