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Finding the Third Proportional to 182,535.50 and 367,784.50

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Solution

The third proportional to 182,535.50 and 367,784.50 is: 741,036.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,535.50 : 367,784.50 = 367,784.50 : x
  2. Step 2: Convert to fraction form
    182,535.50/367,784.50 = 367,784.50/x
  3. Step 3: Cross multiply
    182,535.50x = 367,784.50 × 367,784.50
  4. Step 4: Simplify right side
    182,535.50x = 135,265,438,440.25
  5. Step 5: Solve for x
    x = 135,265,438,440.25/182,535.50
  6. Step 6: Final answer
    x = 741,036.34

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.