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Finding the Third Proportional to 141,142.50 and 302,751

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Solution

The third proportional to 141,142.50 and 302,751 is: 649,401.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,142.50 : 302,751 = 302,751 : x
  2. Step 2: Convert to fraction form
    141,142.50/302,751 = 302,751/x
  3. Step 3: Cross multiply
    141,142.50x = 302,751 × 302,751
  4. Step 4: Simplify right side
    141,142.50x = 91,658,168,001
  5. Step 5: Solve for x
    x = 91,658,168,001/141,142.50
  6. Step 6: Final answer
    x = 649,401.62

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Why These Related Problems?

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