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Finding the Third Proportional to 141,261 and 304,928

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Solution

The third proportional to 141,261 and 304,928 is: 658,221.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,261 : 304,928 = 304,928 : x
  2. Step 2: Convert to fraction form
    141,261/304,928 = 304,928/x
  3. Step 3: Cross multiply
    141,261x = 304,928 × 304,928
  4. Step 4: Simplify right side
    141,261x = 92,981,085,184
  5. Step 5: Solve for x
    x = 92,981,085,184/141,261
  6. Step 6: Final answer
    x = 658,221.91

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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.