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Finding the Third Proportional to 187,269.75 and 409,574.25

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Solution

The third proportional to 187,269.75 and 409,574.25 is: 895,772.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,269.75 : 409,574.25 = 409,574.25 : x
  2. Step 2: Convert to fraction form
    187,269.75/409,574.25 = 409,574.25/x
  3. Step 3: Cross multiply
    187,269.75x = 409,574.25 × 409,574.25
  4. Step 4: Simplify right side
    187,269.75x = 167,751,066,263.06
  5. Step 5: Solve for x
    x = 167,751,066,263.06/187,269.75
  6. Step 6: Final answer
    x = 895,772.36

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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.