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Finding the Third Proportional to 133,705 and 293,651

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Solution

The third proportional to 133,705 and 293,651 is: 644,934.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,705 : 293,651 = 293,651 : x
  2. Step 2: Convert to fraction form
    133,705/293,651 = 293,651/x
  3. Step 3: Cross multiply
    133,705x = 293,651 × 293,651
  4. Step 4: Simplify right side
    133,705x = 86,230,909,801
  5. Step 5: Solve for x
    x = 86,230,909,801/133,705
  6. Step 6: Final answer
    x = 644,934.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.