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Finding the Third Proportional to 161,701.50 and 340,161

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Solution

The third proportional to 161,701.50 and 340,161 is: 715,574.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,701.50 : 340,161 = 340,161 : x
  2. Step 2: Convert to fraction form
    161,701.50/340,161 = 340,161/x
  3. Step 3: Cross multiply
    161,701.50x = 340,161 × 340,161
  4. Step 4: Simplify right side
    161,701.50x = 115,709,505,921
  5. Step 5: Solve for x
    x = 115,709,505,921/161,701.50
  6. Step 6: Final answer
    x = 715,574.72

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.