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Finding the Third Proportional to 197,211 and 320,407.50

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Solution

The third proportional to 197,211 and 320,407.50 is: 520,564.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,211 : 320,407.50 = 320,407.50 : x
  2. Step 2: Convert to fraction form
    197,211/320,407.50 = 320,407.50/x
  3. Step 3: Cross multiply
    197,211x = 320,407.50 × 320,407.50
  4. Step 4: Simplify right side
    197,211x = 102,660,966,056.25
  5. Step 5: Solve for x
    x = 102,660,966,056.25/197,211
  6. Step 6: Final answer
    x = 520,564.10

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.