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Finding the Third Proportional to 155,422.50 and 192,829.50

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Solution

The third proportional to 155,422.50 and 192,829.50 is: 239,239.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,422.50 : 192,829.50 = 192,829.50 : x
  2. Step 2: Convert to fraction form
    155,422.50/192,829.50 = 192,829.50/x
  3. Step 3: Cross multiply
    155,422.50x = 192,829.50 × 192,829.50
  4. Step 4: Simplify right side
    155,422.50x = 37,183,216,070.25
  5. Step 5: Solve for x
    x = 37,183,216,070.25/155,422.50
  6. Step 6: Final answer
    x = 239,239.60

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Why These Related Problems?

These problems maintain the same ratio (1.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.