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Finding the Third Proportional to 150,052 and 216,438

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Solution

The third proportional to 150,052 and 216,438 is: 312,194.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,052 : 216,438 = 216,438 : x
  2. Step 2: Convert to fraction form
    150,052/216,438 = 216,438/x
  3. Step 3: Cross multiply
    150,052x = 216,438 × 216,438
  4. Step 4: Simplify right side
    150,052x = 46,845,407,844
  5. Step 5: Solve for x
    x = 46,845,407,844/150,052
  6. Step 6: Final answer
    x = 312,194.49

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.