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Finding the Third Proportional to 174,838.50 and 264,343.50

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Solution

The third proportional to 174,838.50 and 264,343.50 is: 399,668.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,838.50 : 264,343.50 = 264,343.50 : x
  2. Step 2: Convert to fraction form
    174,838.50/264,343.50 = 264,343.50/x
  3. Step 3: Cross multiply
    174,838.50x = 264,343.50 × 264,343.50
  4. Step 4: Simplify right side
    174,838.50x = 69,877,485,992.25
  5. Step 5: Solve for x
    x = 69,877,485,992.25/174,838.50
  6. Step 6: Final answer
    x = 399,668.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.