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Finding the Third Proportional to 200,940.56 and 433,430.16

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Solution

The third proportional to 200,940.56 and 433,430.16 is: 934,911.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,940.56 : 433,430.16 = 433,430.16 : x
  2. Step 2: Convert to fraction form
    200,940.56/433,430.16 = 433,430.16/x
  3. Step 3: Cross multiply
    200,940.56x = 433,430.16 × 433,430.16
  4. Step 4: Simplify right side
    200,940.56x = 187,861,700,346.90
  5. Step 5: Solve for x
    x = 187,861,700,346.90/200,940.56
  6. Step 6: Final answer
    x = 934,911.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.