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Finding the Third Proportional to 70,405.50 and 152,844

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Solution

The third proportional to 70,405.50 and 152,844 is: 331,810.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,405.50 : 152,844 = 152,844 : x
  2. Step 2: Convert to fraction form
    70,405.50/152,844 = 152,844/x
  3. Step 3: Cross multiply
    70,405.50x = 152,844 × 152,844
  4. Step 4: Simplify right side
    70,405.50x = 23,361,288,336
  5. Step 5: Solve for x
    x = 23,361,288,336/70,405.50
  6. Step 6: Final answer
    x = 331,810.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.