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Finding the Third Proportional to 173,158 and 259,045

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Solution

The third proportional to 173,158 and 259,045 is: 387,532.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,158 : 259,045 = 259,045 : x
  2. Step 2: Convert to fraction form
    173,158/259,045 = 259,045/x
  3. Step 3: Cross multiply
    173,158x = 259,045 × 259,045
  4. Step 4: Simplify right side
    173,158x = 67,104,312,025
  5. Step 5: Solve for x
    x = 67,104,312,025/173,158
  6. Step 6: Final answer
    x = 387,532.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.