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Finding the Third Proportional to 176,691 and 384,485

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Solution

The third proportional to 176,691 and 384,485 is: 836,651.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,691 : 384,485 = 384,485 : x
  2. Step 2: Convert to fraction form
    176,691/384,485 = 384,485/x
  3. Step 3: Cross multiply
    176,691x = 384,485 × 384,485
  4. Step 4: Simplify right side
    176,691x = 147,828,715,225
  5. Step 5: Solve for x
    x = 147,828,715,225/176,691
  6. Step 6: Final answer
    x = 836,651.08

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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.