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Finding the Third Proportional to 178,243.50 and 278,301

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Solution

The third proportional to 178,243.50 and 278,301 is: 434,526.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,243.50 : 278,301 = 278,301 : x
  2. Step 2: Convert to fraction form
    178,243.50/278,301 = 278,301/x
  3. Step 3: Cross multiply
    178,243.50x = 278,301 × 278,301
  4. Step 4: Simplify right side
    178,243.50x = 77,451,446,601
  5. Step 5: Solve for x
    x = 77,451,446,601/178,243.50
  6. Step 6: Final answer
    x = 434,526.06

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.