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Finding the Third Proportional to 128,390.25 and 286,284.75

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Solution

The third proportional to 128,390.25 and 286,284.75 is: 638,358.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,390.25 : 286,284.75 = 286,284.75 : x
  2. Step 2: Convert to fraction form
    128,390.25/286,284.75 = 286,284.75/x
  3. Step 3: Cross multiply
    128,390.25x = 286,284.75 × 286,284.75
  4. Step 4: Simplify right side
    128,390.25x = 81,958,958,082.56
  5. Step 5: Solve for x
    x = 81,958,958,082.56/128,390.25
  6. Step 6: Final answer
    x = 638,358.12

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.