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Finding the Third Proportional to 141,366 and 302,343

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Solution

The third proportional to 141,366 and 302,343 is: 646,628.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,366 : 302,343 = 302,343 : x
  2. Step 2: Convert to fraction form
    141,366/302,343 = 302,343/x
  3. Step 3: Cross multiply
    141,366x = 302,343 × 302,343
  4. Step 4: Simplify right side
    141,366x = 91,411,289,649
  5. Step 5: Solve for x
    x = 91,411,289,649/141,366
  6. Step 6: Final answer
    x = 646,628.54

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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.