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Finding the Third Proportional to 147,930.05 and 345,221.37

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Solution

The third proportional to 147,930.05 and 345,221.37 is: 805,636.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,930.05 : 345,221.37 = 345,221.37 : x
  2. Step 2: Convert to fraction form
    147,930.05/345,221.37 = 345,221.37/x
  3. Step 3: Cross multiply
    147,930.05x = 345,221.37 × 345,221.37
  4. Step 4: Simplify right side
    147,930.05x = 119,177,792,362.81
  5. Step 5: Solve for x
    x = 119,177,792,362.81/147,930.05
  6. Step 6: Final answer
    x = 805,636.14

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.