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Finding the Third Proportional to 115,470 and 173,205

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Solution

The third proportional to 115,470 and 173,205 is: 259,807.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,470 : 173,205 = 173,205 : x
  2. Step 2: Convert to fraction form
    115,470/173,205 = 173,205/x
  3. Step 3: Cross multiply
    115,470x = 173,205 × 173,205
  4. Step 4: Simplify right side
    115,470x = 29,999,972,025
  5. Step 5: Solve for x
    x = 29,999,972,025/115,470
  6. Step 6: Final answer
    x = 259,807.50

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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.