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Finding the Third Proportional to 133,714.50 and 293,668.50

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Solution

The third proportional to 133,714.50 and 293,668.50 is: 644,965.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,714.50 : 293,668.50 = 293,668.50 : x
  2. Step 2: Convert to fraction form
    133,714.50/293,668.50 = 293,668.50/x
  3. Step 3: Cross multiply
    133,714.50x = 293,668.50 × 293,668.50
  4. Step 4: Simplify right side
    133,714.50x = 86,241,187,892.25
  5. Step 5: Solve for x
    x = 86,241,187,892.25/133,714.50
  6. Step 6: Final answer
    x = 644,965.12

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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.