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Finding the Third Proportional to 141,548 and 333,668

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Solution

The third proportional to 141,548 and 333,668 is: 786,548.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,548 : 333,668 = 333,668 : x
  2. Step 2: Convert to fraction form
    141,548/333,668 = 333,668/x
  3. Step 3: Cross multiply
    141,548x = 333,668 × 333,668
  4. Step 4: Simplify right side
    141,548x = 111,334,334,224
  5. Step 5: Solve for x
    x = 111,334,334,224/141,548
  6. Step 6: Final answer
    x = 786,548.27

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.