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Finding the Third Proportional to 235,116 and 364,176

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Solution

The third proportional to 235,116 and 364,176 is: 564,079.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,116 : 364,176 = 364,176 : x
  2. Step 2: Convert to fraction form
    235,116/364,176 = 364,176/x
  3. Step 3: Cross multiply
    235,116x = 364,176 × 364,176
  4. Step 4: Simplify right side
    235,116x = 132,624,158,976
  5. Step 5: Solve for x
    x = 132,624,158,976/235,116
  6. Step 6: Final answer
    x = 564,079.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.