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Finding the Third Proportional to 179,971 and 393,840.50

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Solution

The third proportional to 179,971 and 393,840.50 is: 861,862.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,971 : 393,840.50 = 393,840.50 : x
  2. Step 2: Convert to fraction form
    179,971/393,840.50 = 393,840.50/x
  3. Step 3: Cross multiply
    179,971x = 393,840.50 × 393,840.50
  4. Step 4: Simplify right side
    179,971x = 155,110,339,440.25
  5. Step 5: Solve for x
    x = 155,110,339,440.25/179,971
  6. Step 6: Final answer
    x = 861,862.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.