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Finding the Third Proportional to 198,905.63 and 432,438.75

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Solution

The third proportional to 198,905.63 and 432,438.75 is: 940,160.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,905.63 : 432,438.75 = 432,438.75 : x
  2. Step 2: Convert to fraction form
    198,905.63/432,438.75 = 432,438.75/x
  3. Step 3: Cross multiply
    198,905.63x = 432,438.75 × 432,438.75
  4. Step 4: Simplify right side
    198,905.63x = 187,003,272,501.56
  5. Step 5: Solve for x
    x = 187,003,272,501.56/198,905.63
  6. Step 6: Final answer
    x = 940,160.80

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.