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Finding the Third Proportional to 196,835.06 and 431,076.94

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Solution

The third proportional to 196,835.06 and 431,076.94 is: 944,076.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,835.06 : 431,076.94 = 431,076.94 : x
  2. Step 2: Convert to fraction form
    196,835.06/431,076.94 = 431,076.94/x
  3. Step 3: Cross multiply
    196,835.06x = 431,076.94 × 431,076.94
  4. Step 4: Simplify right side
    196,835.06x = 185,827,326,044.38
  5. Step 5: Solve for x
    x = 185,827,326,044.38/196,835.06
  6. Step 6: Final answer
    x = 944,076.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.