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Finding the Third Proportional to 141,530 and 307,612

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Solution

The third proportional to 141,530 and 307,612 is: 668,587.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,530 : 307,612 = 307,612 : x
  2. Step 2: Convert to fraction form
    141,530/307,612 = 307,612/x
  3. Step 3: Cross multiply
    141,530x = 307,612 × 307,612
  4. Step 4: Simplify right side
    141,530x = 94,625,142,544
  5. Step 5: Solve for x
    x = 94,625,142,544/141,530
  6. Step 6: Final answer
    x = 668,587.17

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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.