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Finding the Third Proportional to 199,564.50 and 433,573.50

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Solution

The third proportional to 199,564.50 and 433,573.50 is: 941,981.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,564.50 : 433,573.50 = 433,573.50 : x
  2. Step 2: Convert to fraction form
    199,564.50/433,573.50 = 433,573.50/x
  3. Step 3: Cross multiply
    199,564.50x = 433,573.50 × 433,573.50
  4. Step 4: Simplify right side
    199,564.50x = 187,985,979,902.25
  5. Step 5: Solve for x
    x = 187,985,979,902.25/199,564.50
  6. Step 6: Final answer
    x = 941,981.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.