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Finding the Third Proportional to 141,139 and 302,743

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Solution

The third proportional to 141,139 and 302,743 is: 649,383.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,139 : 302,743 = 302,743 : x
  2. Step 2: Convert to fraction form
    141,139/302,743 = 302,743/x
  3. Step 3: Cross multiply
    141,139x = 302,743 × 302,743
  4. Step 4: Simplify right side
    141,139x = 91,653,324,049
  5. Step 5: Solve for x
    x = 91,653,324,049/141,139
  6. Step 6: Final answer
    x = 649,383.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.