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Finding the Third Proportional to 194,082 and 294,627

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Solution

The third proportional to 194,082 and 294,627 is: 447,259.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,082 : 294,627 = 294,627 : x
  2. Step 2: Convert to fraction form
    194,082/294,627 = 294,627/x
  3. Step 3: Cross multiply
    194,082x = 294,627 × 294,627
  4. Step 4: Simplify right side
    194,082x = 86,805,069,129
  5. Step 5: Solve for x
    x = 86,805,069,129/194,082
  6. Step 6: Final answer
    x = 447,259.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.