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Finding the Third Proportional to 153,604.50 and 324,731.63

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Solution

The third proportional to 153,604.50 and 324,731.63 is: 686,507.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,604.50 : 324,731.63 = 324,731.63 : x
  2. Step 2: Convert to fraction form
    153,604.50/324,731.63 = 324,731.63/x
  3. Step 3: Cross multiply
    153,604.50x = 324,731.63 × 324,731.63
  4. Step 4: Simplify right side
    153,604.50x = 105,450,628,275.14
  5. Step 5: Solve for x
    x = 105,450,628,275.14/153,604.50
  6. Step 6: Final answer
    x = 686,507.42

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.