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Finding the Third Proportional to 150,930.75 and 314,263.13

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Solution

The third proportional to 150,930.75 and 314,263.13 is: 654,348.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,930.75 : 314,263.13 = 314,263.13 : x
  2. Step 2: Convert to fraction form
    150,930.75/314,263.13 = 314,263.13/x
  3. Step 3: Cross multiply
    150,930.75x = 314,263.13 × 314,263.13
  4. Step 4: Simplify right side
    150,930.75x = 98,761,311,734.77
  5. Step 5: Solve for x
    x = 98,761,311,734.77/150,930.75
  6. Step 6: Final answer
    x = 654,348.51

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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.