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Finding the Third Proportional to 198,654 and 430,302.75

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Solution

The third proportional to 198,654 and 430,302.75 is: 932,075.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,654 : 430,302.75 = 430,302.75 : x
  2. Step 2: Convert to fraction form
    198,654/430,302.75 = 430,302.75/x
  3. Step 3: Cross multiply
    198,654x = 430,302.75 × 430,302.75
  4. Step 4: Simplify right side
    198,654x = 185,160,456,657.56
  5. Step 5: Solve for x
    x = 185,160,456,657.56/198,654
  6. Step 6: Final answer
    x = 932,075.15

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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.