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Finding the Third Proportional to 142,905.38 and 301,848.75

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Solution

The third proportional to 142,905.38 and 301,848.75 is: 637,573.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,905.38 : 301,848.75 = 301,848.75 : x
  2. Step 2: Convert to fraction form
    142,905.38/301,848.75 = 301,848.75/x
  3. Step 3: Cross multiply
    142,905.38x = 301,848.75 × 301,848.75
  4. Step 4: Simplify right side
    142,905.38x = 91,112,667,876.56
  5. Step 5: Solve for x
    x = 91,112,667,876.56/142,905.38
  6. Step 6: Final answer
    x = 637,573.41

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.