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Finding the Third Proportional to 85,052 and 186,466

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Solution

The third proportional to 85,052 and 186,466 is: 408,803.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,052 : 186,466 = 186,466 : x
  2. Step 2: Convert to fraction form
    85,052/186,466 = 186,466/x
  3. Step 3: Cross multiply
    85,052x = 186,466 × 186,466
  4. Step 4: Simplify right side
    85,052x = 34,769,569,156
  5. Step 5: Solve for x
    x = 34,769,569,156/85,052
  6. Step 6: Final answer
    x = 408,803.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.