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Finding the Third Proportional to 169,752 and 260,052

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Solution

The third proportional to 169,752 and 260,052 is: 398,387.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,752 : 260,052 = 260,052 : x
  2. Step 2: Convert to fraction form
    169,752/260,052 = 260,052/x
  3. Step 3: Cross multiply
    169,752x = 260,052 × 260,052
  4. Step 4: Simplify right side
    169,752x = 67,627,042,704
  5. Step 5: Solve for x
    x = 67,627,042,704/169,752
  6. Step 6: Final answer
    x = 398,387.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.