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Finding the Third Proportional to 176,584.50 and 384,697.13

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Solution

The third proportional to 176,584.50 and 384,697.13 is: 838,079.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,584.50 : 384,697.13 = 384,697.13 : x
  2. Step 2: Convert to fraction form
    176,584.50/384,697.13 = 384,697.13/x
  3. Step 3: Cross multiply
    176,584.50x = 384,697.13 × 384,697.13
  4. Step 4: Simplify right side
    176,584.50x = 147,991,877,983.27
  5. Step 5: Solve for x
    x = 147,991,877,983.27/176,584.50
  6. Step 6: Final answer
    x = 838,079.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.