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Finding the Third Proportional to 187,072.03 and 410,362.45

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Solution

The third proportional to 187,072.03 and 410,362.45 is: 900,173.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,072.03 : 410,362.45 = 410,362.45 : x
  2. Step 2: Convert to fraction form
    187,072.03/410,362.45 = 410,362.45/x
  3. Step 3: Cross multiply
    187,072.03x = 410,362.45 × 410,362.45
  4. Step 4: Simplify right side
    187,072.03x = 168,397,342,934.77
  5. Step 5: Solve for x
    x = 168,397,342,934.77/187,072.03
  6. Step 6: Final answer
    x = 900,173.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.