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Finding the Third Proportional to 150,547.50 and 324,594.75

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Solution

The third proportional to 150,547.50 and 324,594.75 is: 699,857.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,547.50 : 324,594.75 = 324,594.75 : x
  2. Step 2: Convert to fraction form
    150,547.50/324,594.75 = 324,594.75/x
  3. Step 3: Cross multiply
    150,547.50x = 324,594.75 × 324,594.75
  4. Step 4: Simplify right side
    150,547.50x = 105,361,751,727.56
  5. Step 5: Solve for x
    x = 105,361,751,727.56/150,547.50
  6. Step 6: Final answer
    x = 699,857.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.