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Finding the Third Proportional to 152,428.50 and 203,634

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Solution

The third proportional to 152,428.50 and 203,634 is: 272,041.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,428.50 : 203,634 = 203,634 : x
  2. Step 2: Convert to fraction form
    152,428.50/203,634 = 203,634/x
  3. Step 3: Cross multiply
    152,428.50x = 203,634 × 203,634
  4. Step 4: Simplify right side
    152,428.50x = 41,466,805,956
  5. Step 5: Solve for x
    x = 41,466,805,956/152,428.50
  6. Step 6: Final answer
    x = 272,041.03

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.