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Finding the Third Proportional to 173,239 and 259,152

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Solution

The third proportional to 173,239 and 259,152 is: 387,671.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,239 : 259,152 = 259,152 : x
  2. Step 2: Convert to fraction form
    173,239/259,152 = 259,152/x
  3. Step 3: Cross multiply
    173,239x = 259,152 × 259,152
  4. Step 4: Simplify right side
    173,239x = 67,159,759,104
  5. Step 5: Solve for x
    x = 67,159,759,104/173,239
  6. Step 6: Final answer
    x = 387,671.13

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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.