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Finding the Third Proportional to 147,281.50 and 225,202

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Solution

The third proportional to 147,281.50 and 225,202 is: 344,346.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,281.50 : 225,202 = 225,202 : x
  2. Step 2: Convert to fraction form
    147,281.50/225,202 = 225,202/x
  3. Step 3: Cross multiply
    147,281.50x = 225,202 × 225,202
  4. Step 4: Simplify right side
    147,281.50x = 50,715,940,804
  5. Step 5: Solve for x
    x = 50,715,940,804/147,281.50
  6. Step 6: Final answer
    x = 344,346.99

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.