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Finding the Third Proportional to 194,754 and 294,237

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Solution

The third proportional to 194,754 and 294,237 is: 444,537.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,754 : 294,237 = 294,237 : x
  2. Step 2: Convert to fraction form
    194,754/294,237 = 294,237/x
  3. Step 3: Cross multiply
    194,754x = 294,237 × 294,237
  4. Step 4: Simplify right side
    194,754x = 86,575,412,169
  5. Step 5: Solve for x
    x = 86,575,412,169/194,754
  6. Step 6: Final answer
    x = 444,537.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.