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Finding the Third Proportional to 187,717.50 and 388,741.50

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Solution

The third proportional to 187,717.50 and 388,741.50 is: 805,039.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,717.50 : 388,741.50 = 388,741.50 : x
  2. Step 2: Convert to fraction form
    187,717.50/388,741.50 = 388,741.50/x
  3. Step 3: Cross multiply
    187,717.50x = 388,741.50 × 388,741.50
  4. Step 4: Simplify right side
    187,717.50x = 151,119,953,822.25
  5. Step 5: Solve for x
    x = 151,119,953,822.25/187,717.50
  6. Step 6: Final answer
    x = 805,039.24

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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.