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Finding the Third Proportional to 194,868.75 and 418,746

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Solution

The third proportional to 194,868.75 and 418,746 is: 899,827.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,868.75 : 418,746 = 418,746 : x
  2. Step 2: Convert to fraction form
    194,868.75/418,746 = 418,746/x
  3. Step 3: Cross multiply
    194,868.75x = 418,746 × 418,746
  4. Step 4: Simplify right side
    194,868.75x = 175,348,212,516
  5. Step 5: Solve for x
    x = 175,348,212,516/194,868.75
  6. Step 6: Final answer
    x = 899,827.26

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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.