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Finding the Third Proportional to 177,807 and 270,166.50

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Solution

The third proportional to 177,807 and 270,166.50 is: 410,500.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,807 : 270,166.50 = 270,166.50 : x
  2. Step 2: Convert to fraction form
    177,807/270,166.50 = 270,166.50/x
  3. Step 3: Cross multiply
    177,807x = 270,166.50 × 270,166.50
  4. Step 4: Simplify right side
    177,807x = 72,989,937,722.25
  5. Step 5: Solve for x
    x = 72,989,937,722.25/177,807
  6. Step 6: Final answer
    x = 410,500.92

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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.