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Finding the Third Proportional to 172,000 and 259,008

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Solution

The third proportional to 172,000 and 259,008 is: 390,029.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,000 : 259,008 = 259,008 : x
  2. Step 2: Convert to fraction form
    172,000/259,008 = 259,008/x
  3. Step 3: Cross multiply
    172,000x = 259,008 × 259,008
  4. Step 4: Simplify right side
    172,000x = 67,085,144,064
  5. Step 5: Solve for x
    x = 67,085,144,064/172,000
  6. Step 6: Final answer
    x = 390,029.91

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