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Finding the Third Proportional to 197,159.44 and 418,929.38

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Solution

The third proportional to 197,159.44 and 418,929.38 is: 890,151.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,159.44 : 418,929.38 = 418,929.38 : x
  2. Step 2: Convert to fraction form
    197,159.44/418,929.38 = 418,929.38/x
  3. Step 3: Cross multiply
    197,159.44x = 418,929.38 × 418,929.38
  4. Step 4: Simplify right side
    197,159.44x = 175,501,821,237.89
  5. Step 5: Solve for x
    x = 175,501,821,237.89/197,159.44
  6. Step 6: Final answer
    x = 890,151.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.