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Finding the Third Proportional to 187,714.13 and 388,735.13

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Solution

The third proportional to 187,714.13 and 388,735.13 is: 805,027.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,714.13 : 388,735.13 = 388,735.13 : x
  2. Step 2: Convert to fraction form
    187,714.13/388,735.13 = 388,735.13/x
  3. Step 3: Cross multiply
    187,714.13x = 388,735.13 × 388,735.13
  4. Step 4: Simplify right side
    187,714.13x = 151,114,997,408.77
  5. Step 5: Solve for x
    x = 151,114,997,408.77/187,714.13
  6. Step 6: Final answer
    x = 805,027.31

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.