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Finding the Third Proportional to 197,156.25 and 427,528.13

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Solution

The third proportional to 197,156.25 and 427,528.13 is: 927,083.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,156.25 : 427,528.13 = 427,528.13 : x
  2. Step 2: Convert to fraction form
    197,156.25/427,528.13 = 427,528.13/x
  3. Step 3: Cross multiply
    197,156.25x = 427,528.13 × 427,528.13
  4. Step 4: Simplify right side
    197,156.25x = 182,780,297,666.02
  5. Step 5: Solve for x
    x = 182,780,297,666.02/197,156.25
  6. Step 6: Final answer
    x = 927,083.46

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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.