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Finding the Third Proportional to 166,920 and 362,152

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Solution

The third proportional to 166,920 and 362,152 is: 785,730.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,920 : 362,152 = 362,152 : x
  2. Step 2: Convert to fraction form
    166,920/362,152 = 362,152/x
  3. Step 3: Cross multiply
    166,920x = 362,152 × 362,152
  4. Step 4: Simplify right side
    166,920x = 131,154,071,104
  5. Step 5: Solve for x
    x = 131,154,071,104/166,920
  6. Step 6: Final answer
    x = 785,730.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.