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Finding the Third Proportional to 151,888 and 354,880

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Solution

The third proportional to 151,888 and 354,880 is: 829,162.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,888 : 354,880 = 354,880 : x
  2. Step 2: Convert to fraction form
    151,888/354,880 = 354,880/x
  3. Step 3: Cross multiply
    151,888x = 354,880 × 354,880
  4. Step 4: Simplify right side
    151,888x = 125,939,814,400
  5. Step 5: Solve for x
    x = 125,939,814,400/151,888
  6. Step 6: Final answer
    x = 829,162.37

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.