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Finding the Third Proportional to 259,204.50 and 370,662.75

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Solution

The third proportional to 259,204.50 and 370,662.75 is: 530,048.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,204.50 : 370,662.75 = 370,662.75 : x
  2. Step 2: Convert to fraction form
    259,204.50/370,662.75 = 370,662.75/x
  3. Step 3: Cross multiply
    259,204.50x = 370,662.75 × 370,662.75
  4. Step 4: Simplify right side
    259,204.50x = 137,390,874,237.56
  5. Step 5: Solve for x
    x = 137,390,874,237.56/259,204.50
  6. Step 6: Final answer
    x = 530,048.18

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.