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Finding the Third Proportional to 199,573.50 and 433,053

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Solution

The third proportional to 199,573.50 and 433,053 is: 939,678.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,573.50 : 433,053 = 433,053 : x
  2. Step 2: Convert to fraction form
    199,573.50/433,053 = 433,053/x
  3. Step 3: Cross multiply
    199,573.50x = 433,053 × 433,053
  4. Step 4: Simplify right side
    199,573.50x = 187,534,900,809
  5. Step 5: Solve for x
    x = 187,534,900,809/199,573.50
  6. Step 6: Final answer
    x = 939,678.37

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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.