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Finding the Third Proportional to 187,798.50 and 411,581.25

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Solution

The third proportional to 187,798.50 and 411,581.25 is: 902,025.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,798.50 : 411,581.25 = 411,581.25 : x
  2. Step 2: Convert to fraction form
    187,798.50/411,581.25 = 411,581.25/x
  3. Step 3: Cross multiply
    187,798.50x = 411,581.25 × 411,581.25
  4. Step 4: Simplify right side
    187,798.50x = 169,399,125,351.56
  5. Step 5: Solve for x
    x = 169,399,125,351.56/187,798.50
  6. Step 6: Final answer
    x = 902,025.98

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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.