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Finding the Third Proportional to 217,719 and 320,173.50

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Solution

The third proportional to 217,719 and 320,173.50 is: 470,841.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,719 : 320,173.50 = 320,173.50 : x
  2. Step 2: Convert to fraction form
    217,719/320,173.50 = 320,173.50/x
  3. Step 3: Cross multiply
    217,719x = 320,173.50 × 320,173.50
  4. Step 4: Simplify right side
    217,719x = 102,511,070,102.25
  5. Step 5: Solve for x
    x = 102,511,070,102.25/217,719
  6. Step 6: Final answer
    x = 470,841.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.