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Finding the Third Proportional to 141,858 and 307,354

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Solution

The third proportional to 141,858 and 307,354 is: 665,922.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,858 : 307,354 = 307,354 : x
  2. Step 2: Convert to fraction form
    141,858/307,354 = 307,354/x
  3. Step 3: Cross multiply
    141,858x = 307,354 × 307,354
  4. Step 4: Simplify right side
    141,858x = 94,466,481,316
  5. Step 5: Solve for x
    x = 94,466,481,316/141,858
  6. Step 6: Final answer
    x = 665,922.83

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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.