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Finding the Third Proportional to 194,202 and 293,085

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Solution

The third proportional to 194,202 and 293,085 is: 442,316.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,202 : 293,085 = 293,085 : x
  2. Step 2: Convert to fraction form
    194,202/293,085 = 293,085/x
  3. Step 3: Cross multiply
    194,202x = 293,085 × 293,085
  4. Step 4: Simplify right side
    194,202x = 85,898,817,225
  5. Step 5: Solve for x
    x = 85,898,817,225/194,202
  6. Step 6: Final answer
    x = 442,316.85

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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.