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Finding the Third Proportional to 113,856.50 and 243,477.25

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Solution

The third proportional to 113,856.50 and 243,477.25 is: 520,665.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,856.50 : 243,477.25 = 243,477.25 : x
  2. Step 2: Convert to fraction form
    113,856.50/243,477.25 = 243,477.25/x
  3. Step 3: Cross multiply
    113,856.50x = 243,477.25 × 243,477.25
  4. Step 4: Simplify right side
    113,856.50x = 59,281,171,267.56
  5. Step 5: Solve for x
    x = 59,281,171,267.56/113,856.50
  6. Step 6: Final answer
    x = 520,665.67

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.