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Finding the Third Proportional to 102,432.75 and 223,545

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Solution

The third proportional to 102,432.75 and 223,545 is: 487,855.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,432.75 : 223,545 = 223,545 : x
  2. Step 2: Convert to fraction form
    102,432.75/223,545 = 223,545/x
  3. Step 3: Cross multiply
    102,432.75x = 223,545 × 223,545
  4. Step 4: Simplify right side
    102,432.75x = 49,972,367,025
  5. Step 5: Solve for x
    x = 49,972,367,025/102,432.75
  6. Step 6: Final answer
    x = 487,855.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.