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Finding the Third Proportional to 234,077.63 and 306,049.50

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Solution

The third proportional to 234,077.63 and 306,049.50 is: 400,150.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,077.63 : 306,049.50 = 306,049.50 : x
  2. Step 2: Convert to fraction form
    234,077.63/306,049.50 = 306,049.50/x
  3. Step 3: Cross multiply
    234,077.63x = 306,049.50 × 306,049.50
  4. Step 4: Simplify right side
    234,077.63x = 93,666,296,450.25
  5. Step 5: Solve for x
    x = 93,666,296,450.25/234,077.63
  6. Step 6: Final answer
    x = 400,150.58

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.