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Finding the Third Proportional to 162,392.50 and 354,296

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Solution

The third proportional to 162,392.50 and 354,296 is: 772,976.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,392.50 : 354,296 = 354,296 : x
  2. Step 2: Convert to fraction form
    162,392.50/354,296 = 354,296/x
  3. Step 3: Cross multiply
    162,392.50x = 354,296 × 354,296
  4. Step 4: Simplify right side
    162,392.50x = 125,525,655,616
  5. Step 5: Solve for x
    x = 125,525,655,616/162,392.50
  6. Step 6: Final answer
    x = 772,976.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.