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Finding the Third Proportional to 159,546 and 340,210.50

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Solution

The third proportional to 159,546 and 340,210.50 is: 725,453.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,546 : 340,210.50 = 340,210.50 : x
  2. Step 2: Convert to fraction form
    159,546/340,210.50 = 340,210.50/x
  3. Step 3: Cross multiply
    159,546x = 340,210.50 × 340,210.50
  4. Step 4: Simplify right side
    159,546x = 115,743,184,310.25
  5. Step 5: Solve for x
    x = 115,743,184,310.25/159,546
  6. Step 6: Final answer
    x = 725,453.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.