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Finding the Third Proportional to 199,644.75 and 431,284.50

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Solution

The third proportional to 199,644.75 and 431,284.50 is: 931,686.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,644.75 : 431,284.50 = 431,284.50 : x
  2. Step 2: Convert to fraction form
    199,644.75/431,284.50 = 431,284.50/x
  3. Step 3: Cross multiply
    199,644.75x = 431,284.50 × 431,284.50
  4. Step 4: Simplify right side
    199,644.75x = 186,006,319,940.25
  5. Step 5: Solve for x
    x = 186,006,319,940.25/199,644.75
  6. Step 6: Final answer
    x = 931,686.51

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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.