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Finding the Third Proportional to 161,668.50 and 340,084.88

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Solution

The third proportional to 161,668.50 and 340,084.88 is: 715,400.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,668.50 : 340,084.88 = 340,084.88 : x
  2. Step 2: Convert to fraction form
    161,668.50/340,084.88 = 340,084.88/x
  3. Step 3: Cross multiply
    161,668.50x = 340,084.88 × 340,084.88
  4. Step 4: Simplify right side
    161,668.50x = 115,657,722,203.77
  5. Step 5: Solve for x
    x = 115,657,722,203.77/161,668.50
  6. Step 6: Final answer
    x = 715,400.48

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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.