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Finding the Third Proportional to 164,091 and 339,568.50

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Solution

The third proportional to 164,091 and 339,568.50 is: 702,700.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,091 : 339,568.50 = 339,568.50 : x
  2. Step 2: Convert to fraction form
    164,091/339,568.50 = 339,568.50/x
  3. Step 3: Cross multiply
    164,091x = 339,568.50 × 339,568.50
  4. Step 4: Simplify right side
    164,091x = 115,306,766,192.25
  5. Step 5: Solve for x
    x = 115,306,766,192.25/164,091
  6. Step 6: Final answer
    x = 702,700.12

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.