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Finding the Third Proportional to 141,146.25 and 201,206.75

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Solution

The third proportional to 141,146.25 and 201,206.75 is: 286,824.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,146.25 : 201,206.75 = 201,206.75 : x
  2. Step 2: Convert to fraction form
    141,146.25/201,206.75 = 201,206.75/x
  3. Step 3: Cross multiply
    141,146.25x = 201,206.75 × 201,206.75
  4. Step 4: Simplify right side
    141,146.25x = 40,484,156,245.56
  5. Step 5: Solve for x
    x = 40,484,156,245.56/141,146.25
  6. Step 6: Final answer
    x = 286,824.17

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.