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Finding the Third Proportional to 152,114.20 and 324,588.09

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Solution

The third proportional to 152,114.20 and 324,588.09 is: 692,620.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,114.20 : 324,588.09 = 324,588.09 : x
  2. Step 2: Convert to fraction form
    152,114.20/324,588.09 = 324,588.09/x
  3. Step 3: Cross multiply
    152,114.20x = 324,588.09 × 324,588.09
  4. Step 4: Simplify right side
    152,114.20x = 105,357,430,604.26
  5. Step 5: Solve for x
    x = 105,357,430,604.26/152,114.20
  6. Step 6: Final answer
    x = 692,620.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.