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Finding the Third Proportional to 165,710 and 234,255

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Solution

The third proportional to 165,710 and 234,255 is: 331,153.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,710 : 234,255 = 234,255 : x
  2. Step 2: Convert to fraction form
    165,710/234,255 = 234,255/x
  3. Step 3: Cross multiply
    165,710x = 234,255 × 234,255
  4. Step 4: Simplify right side
    165,710x = 54,875,405,025
  5. Step 5: Solve for x
    x = 54,875,405,025/165,710
  6. Step 6: Final answer
    x = 331,153.25

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.