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Finding the Third Proportional to 76,364.25 and 167,784

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Solution

The third proportional to 76,364.25 and 167,784 is: 368,647.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,364.25 : 167,784 = 167,784 : x
  2. Step 2: Convert to fraction form
    76,364.25/167,784 = 167,784/x
  3. Step 3: Cross multiply
    76,364.25x = 167,784 × 167,784
  4. Step 4: Simplify right side
    76,364.25x = 28,151,470,656
  5. Step 5: Solve for x
    x = 28,151,470,656/76,364.25
  6. Step 6: Final answer
    x = 368,647.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.