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Finding the Third Proportional to 160,396.50 and 324,681

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Solution

The third proportional to 160,396.50 and 324,681 is: 657,232.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,396.50 : 324,681 = 324,681 : x
  2. Step 2: Convert to fraction form
    160,396.50/324,681 = 324,681/x
  3. Step 3: Cross multiply
    160,396.50x = 324,681 × 324,681
  4. Step 4: Simplify right side
    160,396.50x = 105,417,751,761
  5. Step 5: Solve for x
    x = 105,417,751,761/160,396.50
  6. Step 6: Final answer
    x = 657,232.24

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.