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Finding the Third Proportional to 76,358.25 and 164,017.50

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Solution

The third proportional to 76,358.25 and 164,017.50 is: 352,309.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,358.25 : 164,017.50 = 164,017.50 : x
  2. Step 2: Convert to fraction form
    76,358.25/164,017.50 = 164,017.50/x
  3. Step 3: Cross multiply
    76,358.25x = 164,017.50 × 164,017.50
  4. Step 4: Simplify right side
    76,358.25x = 26,901,740,306.25
  5. Step 5: Solve for x
    x = 26,901,740,306.25/76,358.25
  6. Step 6: Final answer
    x = 352,309.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.