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Finding the Third Proportional to 84,594 and 180,164

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Solution

The third proportional to 84,594 and 180,164 is: 383,704.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,594 : 180,164 = 180,164 : x
  2. Step 2: Convert to fraction form
    84,594/180,164 = 180,164/x
  3. Step 3: Cross multiply
    84,594x = 180,164 × 180,164
  4. Step 4: Simplify right side
    84,594x = 32,459,066,896
  5. Step 5: Solve for x
    x = 32,459,066,896/84,594
  6. Step 6: Final answer
    x = 383,704.13

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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.