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Finding the Third Proportional to 307,162.50 and 465,036

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Solution

The third proportional to 307,162.50 and 465,036 is: 704,052.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,162.50 : 465,036 = 465,036 : x
  2. Step 2: Convert to fraction form
    307,162.50/465,036 = 465,036/x
  3. Step 3: Cross multiply
    307,162.50x = 465,036 × 465,036
  4. Step 4: Simplify right side
    307,162.50x = 216,258,481,296
  5. Step 5: Solve for x
    x = 216,258,481,296/307,162.50
  6. Step 6: Final answer
    x = 704,052.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.