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Finding the Third Proportional to 141,936 and 309,072

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Solution

The third proportional to 141,936 and 309,072 is: 673,018.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,936 : 309,072 = 309,072 : x
  2. Step 2: Convert to fraction form
    141,936/309,072 = 309,072/x
  3. Step 3: Cross multiply
    141,936x = 309,072 × 309,072
  4. Step 4: Simplify right side
    141,936x = 95,525,501,184
  5. Step 5: Solve for x
    x = 95,525,501,184/141,936
  6. Step 6: Final answer
    x = 673,018.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.