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Finding the Third Proportional to 161,698.50 and 340,152.75

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Solution

The third proportional to 161,698.50 and 340,152.75 is: 715,553.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,698.50 : 340,152.75 = 340,152.75 : x
  2. Step 2: Convert to fraction form
    161,698.50/340,152.75 = 340,152.75/x
  3. Step 3: Cross multiply
    161,698.50x = 340,152.75 × 340,152.75
  4. Step 4: Simplify right side
    161,698.50x = 115,703,893,332.56
  5. Step 5: Solve for x
    x = 115,703,893,332.56/161,698.50
  6. Step 6: Final answer
    x = 715,553.29

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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.