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Finding the Third Proportional to 149,985 and 326,088

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Solution

The third proportional to 149,985 and 326,088 is: 708,960.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,985 : 326,088 = 326,088 : x
  2. Step 2: Convert to fraction form
    149,985/326,088 = 326,088/x
  3. Step 3: Cross multiply
    149,985x = 326,088 × 326,088
  4. Step 4: Simplify right side
    149,985x = 106,333,383,744
  5. Step 5: Solve for x
    x = 106,333,383,744/149,985
  6. Step 6: Final answer
    x = 708,960.12

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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.