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Finding the Third Proportional to 178,306 and 384,699.75

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Solution

The third proportional to 178,306 and 384,699.75 is: 829,999.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,306 : 384,699.75 = 384,699.75 : x
  2. Step 2: Convert to fraction form
    178,306/384,699.75 = 384,699.75/x
  3. Step 3: Cross multiply
    178,306x = 384,699.75 × 384,699.75
  4. Step 4: Simplify right side
    178,306x = 147,993,897,650.06
  5. Step 5: Solve for x
    x = 147,993,897,650.06/178,306
  6. Step 6: Final answer
    x = 829,999.54

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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.