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Finding the Third Proportional to 178,657.50 and 383,226

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Solution

The third proportional to 178,657.50 and 383,226 is: 822,031.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,657.50 : 383,226 = 383,226 : x
  2. Step 2: Convert to fraction form
    178,657.50/383,226 = 383,226/x
  3. Step 3: Cross multiply
    178,657.50x = 383,226 × 383,226
  4. Step 4: Simplify right side
    178,657.50x = 146,862,167,076
  5. Step 5: Solve for x
    x = 146,862,167,076/178,657.50
  6. Step 6: Final answer
    x = 822,031.92

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Why These Related Problems?

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