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Finding the Third Proportional to 234,401.63 and 350,059.13

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Solution

The third proportional to 234,401.63 and 350,059.13 is: 522,783.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,401.63 : 350,059.13 = 350,059.13 : x
  2. Step 2: Convert to fraction form
    234,401.63/350,059.13 = 350,059.13/x
  3. Step 3: Cross multiply
    234,401.63x = 350,059.13 × 350,059.13
  4. Step 4: Simplify right side
    234,401.63x = 122,541,390,995.77
  5. Step 5: Solve for x
    x = 122,541,390,995.77/234,401.63
  6. Step 6: Final answer
    x = 522,783.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.