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Finding the Third Proportional to 176,114 and 383,656

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Solution

The third proportional to 176,114 and 383,656 is: 835,776.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,114 : 383,656 = 383,656 : x
  2. Step 2: Convert to fraction form
    176,114/383,656 = 383,656/x
  3. Step 3: Cross multiply
    176,114x = 383,656 × 383,656
  4. Step 4: Simplify right side
    176,114x = 147,191,926,336
  5. Step 5: Solve for x
    x = 147,191,926,336/176,114
  6. Step 6: Final answer
    x = 835,776.41

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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.