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Finding the Third Proportional to 183,258 and 397,833.75

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Solution

The third proportional to 183,258 and 397,833.75 is: 863,655.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,258 : 397,833.75 = 397,833.75 : x
  2. Step 2: Convert to fraction form
    183,258/397,833.75 = 397,833.75/x
  3. Step 3: Cross multiply
    183,258x = 397,833.75 × 397,833.75
  4. Step 4: Simplify right side
    183,258x = 158,271,692,639.06
  5. Step 5: Solve for x
    x = 158,271,692,639.06/183,258
  6. Step 6: Final answer
    x = 863,655.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.