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Finding the Third Proportional to 169,752 and 372,152

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Solution

The third proportional to 169,752 and 372,152 is: 815,879.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,752 : 372,152 = 372,152 : x
  2. Step 2: Convert to fraction form
    169,752/372,152 = 372,152/x
  3. Step 3: Cross multiply
    169,752x = 372,152 × 372,152
  4. Step 4: Simplify right side
    169,752x = 138,497,111,104
  5. Step 5: Solve for x
    x = 138,497,111,104/169,752
  6. Step 6: Final answer
    x = 815,879.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.