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Finding the Third Proportional to 143,497.50 and 223,966.50

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Solution

The third proportional to 143,497.50 and 223,966.50 is: 349,560.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,497.50 : 223,966.50 = 223,966.50 : x
  2. Step 2: Convert to fraction form
    143,497.50/223,966.50 = 223,966.50/x
  3. Step 3: Cross multiply
    143,497.50x = 223,966.50 × 223,966.50
  4. Step 4: Simplify right side
    143,497.50x = 50,160,993,122.25
  5. Step 5: Solve for x
    x = 50,160,993,122.25/143,497.50
  6. Step 6: Final answer
    x = 349,560.05

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.