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Finding the Third Proportional to 197,754.25 and 409,527.50

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Solution

The third proportional to 197,754.25 and 409,527.50 is: 848,086.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,754.25 : 409,527.50 = 409,527.50 : x
  2. Step 2: Convert to fraction form
    197,754.25/409,527.50 = 409,527.50/x
  3. Step 3: Cross multiply
    197,754.25x = 409,527.50 × 409,527.50
  4. Step 4: Simplify right side
    197,754.25x = 167,712,773,256.25
  5. Step 5: Solve for x
    x = 167,712,773,256.25/197,754.25
  6. Step 6: Final answer
    x = 848,086.82

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.