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Finding the Third Proportional to 150,859 and 314,120

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Solution

The third proportional to 150,859 and 314,120 is: 654,063.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,859 : 314,120 = 314,120 : x
  2. Step 2: Convert to fraction form
    150,859/314,120 = 314,120/x
  3. Step 3: Cross multiply
    150,859x = 314,120 × 314,120
  4. Step 4: Simplify right side
    150,859x = 98,671,374,400
  5. Step 5: Solve for x
    x = 98,671,374,400/150,859
  6. Step 6: Final answer
    x = 654,063.56

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.