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Finding the Third Proportional to 141,261 and 304,929

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Solution

The third proportional to 141,261 and 304,929 is: 658,226.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,261 : 304,929 = 304,929 : x
  2. Step 2: Convert to fraction form
    141,261/304,929 = 304,929/x
  3. Step 3: Cross multiply
    141,261x = 304,929 × 304,929
  4. Step 4: Simplify right side
    141,261x = 92,981,695,041
  5. Step 5: Solve for x
    x = 92,981,695,041/141,261
  6. Step 6: Final answer
    x = 658,226.23

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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.