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Finding the Third Proportional to 199,179 and 431,582.63

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Solution

The third proportional to 199,179 and 431,582.63 is: 935,156.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,179 : 431,582.63 = 431,582.63 : x
  2. Step 2: Convert to fraction form
    199,179/431,582.63 = 431,582.63/x
  3. Step 3: Cross multiply
    199,179x = 431,582.63 × 431,582.63
  4. Step 4: Simplify right side
    199,179x = 186,263,562,201.89
  5. Step 5: Solve for x
    x = 186,263,562,201.89/199,179
  6. Step 6: Final answer
    x = 935,156.63

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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.