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Finding the Third Proportional to 84,176 and 180,180

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Solution

The third proportional to 84,176 and 180,180 is: 385,678.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,176 : 180,180 = 180,180 : x
  2. Step 2: Convert to fraction form
    84,176/180,180 = 180,180/x
  3. Step 3: Cross multiply
    84,176x = 180,180 × 180,180
  4. Step 4: Simplify right side
    84,176x = 32,464,832,400
  5. Step 5: Solve for x
    x = 32,464,832,400/84,176
  6. Step 6: Final answer
    x = 385,678.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.