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Finding the Third Proportional to 134,619.50 and 208,422

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Solution

The third proportional to 134,619.50 and 208,422 is: 322,685.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,619.50 : 208,422 = 208,422 : x
  2. Step 2: Convert to fraction form
    134,619.50/208,422 = 208,422/x
  3. Step 3: Cross multiply
    134,619.50x = 208,422 × 208,422
  4. Step 4: Simplify right side
    134,619.50x = 43,439,730,084
  5. Step 5: Solve for x
    x = 43,439,730,084/134,619.50
  6. Step 6: Final answer
    x = 322,685.27

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.