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Finding the Third Proportional to 180,749.81 and 393,638.06

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Solution

The third proportional to 180,749.81 and 393,638.06 is: 857,267.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,749.81 : 393,638.06 = 393,638.06 : x
  2. Step 2: Convert to fraction form
    180,749.81/393,638.06 = 393,638.06/x
  3. Step 3: Cross multiply
    180,749.81x = 393,638.06 × 393,638.06
  4. Step 4: Simplify right side
    180,749.81x = 154,950,924,248.75
  5. Step 5: Solve for x
    x = 154,950,924,248.75/180,749.81
  6. Step 6: Final answer
    x = 857,267.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.