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Finding the Third Proportional to 166,172.50 and 362,423

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Solution

The third proportional to 166,172.50 and 362,423 is: 790,446.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,172.50 : 362,423 = 362,423 : x
  2. Step 2: Convert to fraction form
    166,172.50/362,423 = 362,423/x
  3. Step 3: Cross multiply
    166,172.50x = 362,423 × 362,423
  4. Step 4: Simplify right side
    166,172.50x = 131,350,430,929
  5. Step 5: Solve for x
    x = 131,350,430,929/166,172.50
  6. Step 6: Final answer
    x = 790,446.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.