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Finding the Third Proportional to 141,267 and 304,941

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Solution

The third proportional to 141,267 and 304,941 is: 658,250.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,267 : 304,941 = 304,941 : x
  2. Step 2: Convert to fraction form
    141,267/304,941 = 304,941/x
  3. Step 3: Cross multiply
    141,267x = 304,941 × 304,941
  4. Step 4: Simplify right side
    141,267x = 92,989,013,481
  5. Step 5: Solve for x
    x = 92,989,013,481/141,267
  6. Step 6: Final answer
    x = 658,250.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.