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Finding the Third Proportional to 177,596 and 249,825

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Solution

The third proportional to 177,596 and 249,825 is: 351,429.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,596 : 249,825 = 249,825 : x
  2. Step 2: Convert to fraction form
    177,596/249,825 = 249,825/x
  3. Step 3: Cross multiply
    177,596x = 249,825 × 249,825
  4. Step 4: Simplify right side
    177,596x = 62,412,530,625
  5. Step 5: Solve for x
    x = 62,412,530,625/177,596
  6. Step 6: Final answer
    x = 351,429.82

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.