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Finding the Third Proportional to 177,592.50 and 270,823.50

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Solution

The third proportional to 177,592.50 and 270,823.50 is: 412,998.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,592.50 : 270,823.50 = 270,823.50 : x
  2. Step 2: Convert to fraction form
    177,592.50/270,823.50 = 270,823.50/x
  3. Step 3: Cross multiply
    177,592.50x = 270,823.50 × 270,823.50
  4. Step 4: Simplify right side
    177,592.50x = 73,345,368,152.25
  5. Step 5: Solve for x
    x = 73,345,368,152.25/177,592.50
  6. Step 6: Final answer
    x = 412,998.12

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.