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Finding the Third Proportional to 190,825.50 and 286,258.50

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Solution

The third proportional to 190,825.50 and 286,258.50 is: 429,418.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,825.50 : 286,258.50 = 286,258.50 : x
  2. Step 2: Convert to fraction form
    190,825.50/286,258.50 = 286,258.50/x
  3. Step 3: Cross multiply
    190,825.50x = 286,258.50 × 286,258.50
  4. Step 4: Simplify right side
    190,825.50x = 81,943,928,822.25
  5. Step 5: Solve for x
    x = 81,943,928,822.25/190,825.50
  6. Step 6: Final answer
    x = 429,418.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.