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Finding the Third Proportional to 178,564 and 384,464

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Solution

The third proportional to 178,564 and 384,464 is: 827,784.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,564 : 384,464 = 384,464 : x
  2. Step 2: Convert to fraction form
    178,564/384,464 = 384,464/x
  3. Step 3: Cross multiply
    178,564x = 384,464 × 384,464
  4. Step 4: Simplify right side
    178,564x = 147,812,567,296
  5. Step 5: Solve for x
    x = 147,812,567,296/178,564
  6. Step 6: Final answer
    x = 827,784.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.