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Finding the Third Proportional to 178,617 and 385,276.50

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Solution

The third proportional to 178,617 and 385,276.50 is: 831,040.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,617 : 385,276.50 = 385,276.50 : x
  2. Step 2: Convert to fraction form
    178,617/385,276.50 = 385,276.50/x
  3. Step 3: Cross multiply
    178,617x = 385,276.50 × 385,276.50
  4. Step 4: Simplify right side
    178,617x = 148,437,981,452.25
  5. Step 5: Solve for x
    x = 148,437,981,452.25/178,617
  6. Step 6: Final answer
    x = 831,040.61

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Why These Related Problems?

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