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Finding the Third Proportional to 141,466 and 307,814

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Solution

The third proportional to 141,466 and 307,814 is: 669,768.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,466 : 307,814 = 307,814 : x
  2. Step 2: Convert to fraction form
    141,466/307,814 = 307,814/x
  3. Step 3: Cross multiply
    141,466x = 307,814 × 307,814
  4. Step 4: Simplify right side
    141,466x = 94,749,458,596
  5. Step 5: Solve for x
    x = 94,749,458,596/141,466
  6. Step 6: Final answer
    x = 669,768.41

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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.