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Finding the Third Proportional to 155,966 and 223,039.50

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Solution

The third proportional to 155,966 and 223,039.50 is: 318,958.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,966 : 223,039.50 = 223,039.50 : x
  2. Step 2: Convert to fraction form
    155,966/223,039.50 = 223,039.50/x
  3. Step 3: Cross multiply
    155,966x = 223,039.50 × 223,039.50
  4. Step 4: Simplify right side
    155,966x = 49,746,618,560.25
  5. Step 5: Solve for x
    x = 49,746,618,560.25/155,966
  6. Step 6: Final answer
    x = 318,958.10

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.