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Finding the Third Proportional to 143,825.63 and 223,306.88

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Solution

The third proportional to 143,825.63 and 223,306.88 is: 346,711.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,825.63 : 223,306.88 = 223,306.88 : x
  2. Step 2: Convert to fraction form
    143,825.63/223,306.88 = 223,306.88/x
  3. Step 3: Cross multiply
    143,825.63x = 223,306.88 × 223,306.88
  4. Step 4: Simplify right side
    143,825.63x = 49,865,960,422.27
  5. Step 5: Solve for x
    x = 49,865,960,422.27/143,825.63
  6. Step 6: Final answer
    x = 346,711.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.