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Finding the Third Proportional to 150,852.56 and 314,219.25

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Solution

The third proportional to 150,852.56 and 314,219.25 is: 654,504.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,852.56 : 314,219.25 = 314,219.25 : x
  2. Step 2: Convert to fraction form
    150,852.56/314,219.25 = 314,219.25/x
  3. Step 3: Cross multiply
    150,852.56x = 314,219.25 × 314,219.25
  4. Step 4: Simplify right side
    150,852.56x = 98,733,737,070.56
  5. Step 5: Solve for x
    x = 98,733,737,070.56/150,852.56
  6. Step 6: Final answer
    x = 654,504.87

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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.