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Finding the Third Proportional to 84,518 and 186,506

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Solution

The third proportional to 84,518 and 186,506 is: 411,563.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,518 : 186,506 = 186,506 : x
  2. Step 2: Convert to fraction form
    84,518/186,506 = 186,506/x
  3. Step 3: Cross multiply
    84,518x = 186,506 × 186,506
  4. Step 4: Simplify right side
    84,518x = 34,784,488,036
  5. Step 5: Solve for x
    x = 34,784,488,036/84,518
  6. Step 6: Final answer
    x = 411,563.08

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.