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Finding the Third Proportional to 194,848.03 and 237,357.84

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Solution

The third proportional to 194,848.03 and 237,357.84 is: 289,141.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,848.03 : 237,357.84 = 237,357.84 : x
  2. Step 2: Convert to fraction form
    194,848.03/237,357.84 = 237,357.84/x
  3. Step 3: Cross multiply
    194,848.03x = 237,357.84 × 237,357.84
  4. Step 4: Simplify right side
    194,848.03x = 56,338,745,989.65
  5. Step 5: Solve for x
    x = 56,338,745,989.65/194,848.03
  6. Step 6: Final answer
    x = 289,141.98

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.