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Finding the Third Proportional to 141,321 and 307,182

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Solution

The third proportional to 141,321 and 307,182 is: 667,705.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,321 : 307,182 = 307,182 : x
  2. Step 2: Convert to fraction form
    141,321/307,182 = 307,182/x
  3. Step 3: Cross multiply
    141,321x = 307,182 × 307,182
  4. Step 4: Simplify right side
    141,321x = 94,360,781,124
  5. Step 5: Solve for x
    x = 94,360,781,124/141,321
  6. Step 6: Final answer
    x = 667,705.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.