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Finding the Third Proportional to 197,407.50 and 281,347.50

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Solution

The third proportional to 197,407.50 and 281,347.50 is: 400,979.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,407.50 : 281,347.50 = 281,347.50 : x
  2. Step 2: Convert to fraction form
    197,407.50/281,347.50 = 281,347.50/x
  3. Step 3: Cross multiply
    197,407.50x = 281,347.50 × 281,347.50
  4. Step 4: Simplify right side
    197,407.50x = 79,156,415,756.25
  5. Step 5: Solve for x
    x = 79,156,415,756.25/197,407.50
  6. Step 6: Final answer
    x = 400,979.78

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.