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Finding the Third Proportional to 187,063.50 and 409,119

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Solution

The third proportional to 187,063.50 and 409,119 is: 894,767.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,063.50 : 409,119 = 409,119 : x
  2. Step 2: Convert to fraction form
    187,063.50/409,119 = 409,119/x
  3. Step 3: Cross multiply
    187,063.50x = 409,119 × 409,119
  4. Step 4: Simplify right side
    187,063.50x = 167,378,356,161
  5. Step 5: Solve for x
    x = 167,378,356,161/187,063.50
  6. Step 6: Final answer
    x = 894,767.59

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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.