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Finding the Third Proportional to 133,721.63 and 293,687.06

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Solution

The third proportional to 133,721.63 and 293,687.06 is: 645,012.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,721.63 : 293,687.06 = 293,687.06 : x
  2. Step 2: Convert to fraction form
    133,721.63/293,687.06 = 293,687.06/x
  3. Step 3: Cross multiply
    133,721.63x = 293,687.06 × 293,687.06
  4. Step 4: Simplify right side
    133,721.63x = 86,252,090,679.88
  5. Step 5: Solve for x
    x = 86,252,090,679.88/133,721.63
  6. Step 6: Final answer
    x = 645,012.28

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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.