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Finding the Third Proportional to 187,410.38 and 409,772.25

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Solution

The third proportional to 187,410.38 and 409,772.25 is: 895,965.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,410.38 : 409,772.25 = 409,772.25 : x
  2. Step 2: Convert to fraction form
    187,410.38/409,772.25 = 409,772.25/x
  3. Step 3: Cross multiply
    187,410.38x = 409,772.25 × 409,772.25
  4. Step 4: Simplify right side
    187,410.38x = 167,913,296,870.06
  5. Step 5: Solve for x
    x = 167,913,296,870.06/187,410.38
  6. Step 6: Final answer
    x = 895,965.85

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.