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Finding the Third Proportional to 177,339 and 260,824.50

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Solution

The third proportional to 177,339 and 260,824.50 is: 383,612.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,339 : 260,824.50 = 260,824.50 : x
  2. Step 2: Convert to fraction form
    177,339/260,824.50 = 260,824.50/x
  3. Step 3: Cross multiply
    177,339x = 260,824.50 × 260,824.50
  4. Step 4: Simplify right side
    177,339x = 68,029,419,800.25
  5. Step 5: Solve for x
    x = 68,029,419,800.25/177,339
  6. Step 6: Final answer
    x = 383,612.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.