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Finding the Third Proportional to 169,564 and 262,140

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Solution

The third proportional to 169,564 and 262,140 is: 405,259.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,564 : 262,140 = 262,140 : x
  2. Step 2: Convert to fraction form
    169,564/262,140 = 262,140/x
  3. Step 3: Cross multiply
    169,564x = 262,140 × 262,140
  4. Step 4: Simplify right side
    169,564x = 68,717,379,600
  5. Step 5: Solve for x
    x = 68,717,379,600/169,564
  6. Step 6: Final answer
    x = 405,259.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.