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Finding the Third Proportional to 178,102.13 and 384,620.06

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Solution

The third proportional to 178,102.13 and 384,620.06 is: 830,605.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,102.13 : 384,620.06 = 384,620.06 : x
  2. Step 2: Convert to fraction form
    178,102.13/384,620.06 = 384,620.06/x
  3. Step 3: Cross multiply
    178,102.13x = 384,620.06 × 384,620.06
  4. Step 4: Simplify right side
    178,102.13x = 147,932,592,477.50
  5. Step 5: Solve for x
    x = 147,932,592,477.50/178,102.13
  6. Step 6: Final answer
    x = 830,605.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.