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Finding the Third Proportional to 194,282.50 and 418,090

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Solution

The third proportional to 194,282.50 and 418,090 is: 899,716.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,282.50 : 418,090 = 418,090 : x
  2. Step 2: Convert to fraction form
    194,282.50/418,090 = 418,090/x
  3. Step 3: Cross multiply
    194,282.50x = 418,090 × 418,090
  4. Step 4: Simplify right side
    194,282.50x = 174,799,248,100
  5. Step 5: Solve for x
    x = 174,799,248,100/194,282.50
  6. Step 6: Final answer
    x = 899,716.90

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.