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Finding the Third Proportional to 173,235 and 259,146

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Solution

The third proportional to 173,235 and 259,146 is: 387,662.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,235 : 259,146 = 259,146 : x
  2. Step 2: Convert to fraction form
    173,235/259,146 = 259,146/x
  3. Step 3: Cross multiply
    173,235x = 259,146 × 259,146
  4. Step 4: Simplify right side
    173,235x = 67,156,649,316
  5. Step 5: Solve for x
    x = 67,156,649,316/173,235
  6. Step 6: Final answer
    x = 387,662.13

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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.