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Finding the Third Proportional to 155,959.50 and 223,029.50

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Solution

The third proportional to 155,959.50 and 223,029.50 is: 318,942.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,959.50 : 223,029.50 = 223,029.50 : x
  2. Step 2: Convert to fraction form
    155,959.50/223,029.50 = 223,029.50/x
  3. Step 3: Cross multiply
    155,959.50x = 223,029.50 × 223,029.50
  4. Step 4: Simplify right side
    155,959.50x = 49,742,157,870.25
  5. Step 5: Solve for x
    x = 49,742,157,870.25/155,959.50
  6. Step 6: Final answer
    x = 318,942.79

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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.