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Finding the Third Proportional to 84,590 and 180,156

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Solution

The third proportional to 84,590 and 180,156 is: 383,688.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,590 : 180,156 = 180,156 : x
  2. Step 2: Convert to fraction form
    84,590/180,156 = 180,156/x
  3. Step 3: Cross multiply
    84,590x = 180,156 × 180,156
  4. Step 4: Simplify right side
    84,590x = 32,456,184,336
  5. Step 5: Solve for x
    x = 32,456,184,336/84,590
  6. Step 6: Final answer
    x = 383,688.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.