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Finding the Third Proportional to 141,150 and 302,768

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Solution

The third proportional to 141,150 and 302,768 is: 649,440.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,150 : 302,768 = 302,768 : x
  2. Step 2: Convert to fraction form
    141,150/302,768 = 302,768/x
  3. Step 3: Cross multiply
    141,150x = 302,768 × 302,768
  4. Step 4: Simplify right side
    141,150x = 91,668,461,824
  5. Step 5: Solve for x
    x = 91,668,461,824/141,150
  6. Step 6: Final answer
    x = 649,440.04

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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.