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Finding the Third Proportional to 115,414 and 180,411

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Solution

The third proportional to 115,414 and 180,411 is: 282,011.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,414 : 180,411 = 180,411 : x
  2. Step 2: Convert to fraction form
    115,414/180,411 = 180,411/x
  3. Step 3: Cross multiply
    115,414x = 180,411 × 180,411
  4. Step 4: Simplify right side
    115,414x = 32,548,128,921
  5. Step 5: Solve for x
    x = 32,548,128,921/115,414
  6. Step 6: Final answer
    x = 282,011.96

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.