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Finding the Third Proportional to 164,043 and 341,172

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Solution

The third proportional to 164,043 and 341,172 is: 709,559.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,043 : 341,172 = 341,172 : x
  2. Step 2: Convert to fraction form
    164,043/341,172 = 341,172/x
  3. Step 3: Cross multiply
    164,043x = 341,172 × 341,172
  4. Step 4: Simplify right side
    164,043x = 116,398,333,584
  5. Step 5: Solve for x
    x = 116,398,333,584/164,043
  6. Step 6: Final answer
    x = 709,559.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.