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Finding the Third Proportional to 141,880 and 304,666

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Solution

The third proportional to 141,880 and 304,666 is: 654,224.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,880 : 304,666 = 304,666 : x
  2. Step 2: Convert to fraction form
    141,880/304,666 = 304,666/x
  3. Step 3: Cross multiply
    141,880x = 304,666 × 304,666
  4. Step 4: Simplify right side
    141,880x = 92,821,371,556
  5. Step 5: Solve for x
    x = 92,821,371,556/141,880
  6. Step 6: Final answer
    x = 654,224.50

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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.