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Finding the Third Proportional to 200,122.31 and 433,458

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Solution

The third proportional to 200,122.31 and 433,458 is: 938,855.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,122.31 : 433,458 = 433,458 : x
  2. Step 2: Convert to fraction form
    200,122.31/433,458 = 433,458/x
  3. Step 3: Cross multiply
    200,122.31x = 433,458 × 433,458
  4. Step 4: Simplify right side
    200,122.31x = 187,885,837,764
  5. Step 5: Solve for x
    x = 187,885,837,764/200,122.31
  6. Step 6: Final answer
    x = 938,855.02

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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.