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Finding the Third Proportional to 161,697.75 and 340,151.50

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Solution

The third proportional to 161,697.75 and 340,151.50 is: 715,551.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,697.75 : 340,151.50 = 340,151.50 : x
  2. Step 2: Convert to fraction form
    161,697.75/340,151.50 = 340,151.50/x
  3. Step 3: Cross multiply
    161,697.75x = 340,151.50 × 340,151.50
  4. Step 4: Simplify right side
    161,697.75x = 115,703,042,952.25
  5. Step 5: Solve for x
    x = 115,703,042,952.25/161,697.75
  6. Step 6: Final answer
    x = 715,551.35

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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.