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Finding the Third Proportional to 187,440.50 and 404,815

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Solution

The third proportional to 187,440.50 and 404,815 is: 874,278.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,440.50 : 404,815 = 404,815 : x
  2. Step 2: Convert to fraction form
    187,440.50/404,815 = 404,815/x
  3. Step 3: Cross multiply
    187,440.50x = 404,815 × 404,815
  4. Step 4: Simplify right side
    187,440.50x = 163,875,184,225
  5. Step 5: Solve for x
    x = 163,875,184,225/187,440.50
  6. Step 6: Final answer
    x = 874,278.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.