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Finding the Third Proportional to 147,487.50 and 223,949.81

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Solution

The third proportional to 147,487.50 and 223,949.81 is: 340,052.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,487.50 : 223,949.81 = 223,949.81 : x
  2. Step 2: Convert to fraction form
    147,487.50/223,949.81 = 223,949.81/x
  3. Step 3: Cross multiply
    147,487.50x = 223,949.81 × 223,949.81
  4. Step 4: Simplify right side
    147,487.50x = 50,153,518,518.79
  5. Step 5: Solve for x
    x = 50,153,518,518.79/147,487.50
  6. Step 6: Final answer
    x = 340,052.67

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.