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Finding the Third Proportional to 162,441 and 254,880

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Solution

The third proportional to 162,441 and 254,880 is: 399,922.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,441 : 254,880 = 254,880 : x
  2. Step 2: Convert to fraction form
    162,441/254,880 = 254,880/x
  3. Step 3: Cross multiply
    162,441x = 254,880 × 254,880
  4. Step 4: Simplify right side
    162,441x = 64,963,814,400
  5. Step 5: Solve for x
    x = 64,963,814,400/162,441
  6. Step 6: Final answer
    x = 399,922.52

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.