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Finding the Third Proportional to 163,846.69 and 251,479.69

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Solution

The third proportional to 163,846.69 and 251,479.69 is: 385,982.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,846.69 : 251,479.69 = 251,479.69 : x
  2. Step 2: Convert to fraction form
    163,846.69/251,479.69 = 251,479.69/x
  3. Step 3: Cross multiply
    163,846.69x = 251,479.69 × 251,479.69
  4. Step 4: Simplify right side
    163,846.69x = 63,242,033,225.10
  5. Step 5: Solve for x
    x = 63,242,033,225.10/163,846.69
  6. Step 6: Final answer
    x = 385,982.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.