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Finding the Third Proportional to 183,729.50 and 393,701.50

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Solution

The third proportional to 183,729.50 and 393,701.50 is: 843,636.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,729.50 : 393,701.50 = 393,701.50 : x
  2. Step 2: Convert to fraction form
    183,729.50/393,701.50 = 393,701.50/x
  3. Step 3: Cross multiply
    183,729.50x = 393,701.50 × 393,701.50
  4. Step 4: Simplify right side
    183,729.50x = 155,000,871,102.25
  5. Step 5: Solve for x
    x = 155,000,871,102.25/183,729.50
  6. Step 6: Final answer
    x = 843,636.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.