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Finding the Third Proportional to 187,522.50 and 404,364

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Solution

The third proportional to 187,522.50 and 404,364 is: 871,950.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,522.50 : 404,364 = 404,364 : x
  2. Step 2: Convert to fraction form
    187,522.50/404,364 = 404,364/x
  3. Step 3: Cross multiply
    187,522.50x = 404,364 × 404,364
  4. Step 4: Simplify right side
    187,522.50x = 163,510,244,496
  5. Step 5: Solve for x
    x = 163,510,244,496/187,522.50
  6. Step 6: Final answer
    x = 871,950.00

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.