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Finding the Third Proportional to 187,113.75 and 411,595.13

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Solution

The third proportional to 187,113.75 and 411,595.13 is: 905,388.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,113.75 : 411,595.13 = 411,595.13 : x
  2. Step 2: Convert to fraction form
    187,113.75/411,595.13 = 411,595.13/x
  3. Step 3: Cross multiply
    187,113.75x = 411,595.13 × 411,595.13
  4. Step 4: Simplify right side
    187,113.75x = 169,410,546,923.77
  5. Step 5: Solve for x
    x = 169,410,546,923.77/187,113.75
  6. Step 6: Final answer
    x = 905,388.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.