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Finding the Third Proportional to 76,324 and 168,152

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Solution

The third proportional to 76,324 and 168,152 is: 370,461.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,324 : 168,152 = 168,152 : x
  2. Step 2: Convert to fraction form
    76,324/168,152 = 168,152/x
  3. Step 3: Cross multiply
    76,324x = 168,152 × 168,152
  4. Step 4: Simplify right side
    76,324x = 28,275,095,104
  5. Step 5: Solve for x
    x = 28,275,095,104/76,324
  6. Step 6: Final answer
    x = 370,461.39

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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.