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Finding the Third Proportional to 166,846 and 359,937

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Solution

The third proportional to 166,846 and 359,937 is: 776,492.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,846 : 359,937 = 359,937 : x
  2. Step 2: Convert to fraction form
    166,846/359,937 = 359,937/x
  3. Step 3: Cross multiply
    166,846x = 359,937 × 359,937
  4. Step 4: Simplify right side
    166,846x = 129,554,643,969
  5. Step 5: Solve for x
    x = 129,554,643,969/166,846
  6. Step 6: Final answer
    x = 776,492.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.