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Finding the Third Proportional to 84,451 and 185,516

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Solution

The third proportional to 84,451 and 185,516 is: 407,528.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,451 : 185,516 = 185,516 : x
  2. Step 2: Convert to fraction form
    84,451/185,516 = 185,516/x
  3. Step 3: Cross multiply
    84,451x = 185,516 × 185,516
  4. Step 4: Simplify right side
    84,451x = 34,416,186,256
  5. Step 5: Solve for x
    x = 34,416,186,256/84,451
  6. Step 6: Final answer
    x = 407,528.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.