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Finding the Third Proportional to 201,937.50 and 443,043

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Solution

The third proportional to 201,937.50 and 443,043 is: 972,019.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,937.50 : 443,043 = 443,043 : x
  2. Step 2: Convert to fraction form
    201,937.50/443,043 = 443,043/x
  3. Step 3: Cross multiply
    201,937.50x = 443,043 × 443,043
  4. Step 4: Simplify right side
    201,937.50x = 196,287,099,849
  5. Step 5: Solve for x
    x = 196,287,099,849/201,937.50
  6. Step 6: Final answer
    x = 972,019.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.