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Finding the Third Proportional to 194,835.38 and 304,554.94

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Solution

The third proportional to 194,835.38 and 304,554.94 is: 476,061.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,835.38 : 304,554.94 = 304,554.94 : x
  2. Step 2: Convert to fraction form
    194,835.38/304,554.94 = 304,554.94/x
  3. Step 3: Cross multiply
    194,835.38x = 304,554.94 × 304,554.94
  4. Step 4: Simplify right side
    194,835.38x = 92,753,709,955.63
  5. Step 5: Solve for x
    x = 92,753,709,955.63/194,835.38
  6. Step 6: Final answer
    x = 476,061.96

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.