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Finding the Third Proportional to 129,528 and 199,829.25

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Solution

The third proportional to 129,528 and 199,829.25 is: 308,286.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,528 : 199,829.25 = 199,829.25 : x
  2. Step 2: Convert to fraction form
    129,528/199,829.25 = 199,829.25/x
  3. Step 3: Cross multiply
    129,528x = 199,829.25 × 199,829.25
  4. Step 4: Simplify right side
    129,528x = 39,931,729,155.56
  5. Step 5: Solve for x
    x = 39,931,729,155.56/129,528
  6. Step 6: Final answer
    x = 308,286.46

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.