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Finding the Third Proportional to 197,082 and 423,688.50

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Solution

The third proportional to 197,082 and 423,688.50 is: 910,849.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,082 : 423,688.50 = 423,688.50 : x
  2. Step 2: Convert to fraction form
    197,082/423,688.50 = 423,688.50/x
  3. Step 3: Cross multiply
    197,082x = 423,688.50 × 423,688.50
  4. Step 4: Simplify right side
    197,082x = 179,511,945,032.25
  5. Step 5: Solve for x
    x = 179,511,945,032.25/197,082
  6. Step 6: Final answer
    x = 910,849.01

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.