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Finding the Third Proportional to 165,770 and 254,380

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Solution

The third proportional to 165,770 and 254,380 is: 390,355.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,770 : 254,380 = 254,380 : x
  2. Step 2: Convert to fraction form
    165,770/254,380 = 254,380/x
  3. Step 3: Cross multiply
    165,770x = 254,380 × 254,380
  4. Step 4: Simplify right side
    165,770x = 64,709,184,400
  5. Step 5: Solve for x
    x = 64,709,184,400/165,770
  6. Step 6: Final answer
    x = 390,355.22

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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.