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Finding the Third Proportional to 199,232 and 431,656

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Solution

The third proportional to 199,232 and 431,656 is: 935,225.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,232 : 431,656 = 431,656 : x
  2. Step 2: Convert to fraction form
    199,232/431,656 = 431,656/x
  3. Step 3: Cross multiply
    199,232x = 431,656 × 431,656
  4. Step 4: Simplify right side
    199,232x = 186,326,902,336
  5. Step 5: Solve for x
    x = 186,326,902,336/199,232
  6. Step 6: Final answer
    x = 935,225.78

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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.