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Finding the Third Proportional to 187,722.75 and 388,752.38

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Solution

The third proportional to 187,722.75 and 388,752.38 is: 805,061.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,722.75 : 388,752.38 = 388,752.38 : x
  2. Step 2: Convert to fraction form
    187,722.75/388,752.38 = 388,752.38/x
  3. Step 3: Cross multiply
    187,722.75x = 388,752.38 × 388,752.38
  4. Step 4: Simplify right side
    187,722.75x = 151,128,409,068.14
  5. Step 5: Solve for x
    x = 151,128,409,068.14/187,722.75
  6. Step 6: Final answer
    x = 805,061.77

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