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Finding the Third Proportional to 115,420 and 180,420

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Solution

The third proportional to 115,420 and 180,420 is: 282,025.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,420 : 180,420 = 180,420 : x
  2. Step 2: Convert to fraction form
    115,420/180,420 = 180,420/x
  3. Step 3: Cross multiply
    115,420x = 180,420 × 180,420
  4. Step 4: Simplify right side
    115,420x = 32,551,376,400
  5. Step 5: Solve for x
    x = 32,551,376,400/115,420
  6. Step 6: Final answer
    x = 282,025.44

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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.