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Finding the Third Proportional to 204,071.81 and 321,759

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Solution

The third proportional to 204,071.81 and 321,759 is: 507,315.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,071.81 : 321,759 = 321,759 : x
  2. Step 2: Convert to fraction form
    204,071.81/321,759 = 321,759/x
  3. Step 3: Cross multiply
    204,071.81x = 321,759 × 321,759
  4. Step 4: Simplify right side
    204,071.81x = 103,528,854,081
  5. Step 5: Solve for x
    x = 103,528,854,081/204,071.81
  6. Step 6: Final answer
    x = 507,315.80

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.