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Finding the Third Proportional to 164,312.25 and 264,540.38

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Solution

The third proportional to 164,312.25 and 264,540.38 is: 425,906.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,312.25 : 264,540.38 = 264,540.38 : x
  2. Step 2: Convert to fraction form
    164,312.25/264,540.38 = 264,540.38/x
  3. Step 3: Cross multiply
    164,312.25x = 264,540.38 × 264,540.38
  4. Step 4: Simplify right side
    164,312.25x = 69,981,610,005.14
  5. Step 5: Solve for x
    x = 69,981,610,005.14/164,312.25
  6. Step 6: Final answer
    x = 425,906.22

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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.