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Finding the Third Proportional to 177,514 and 249,685

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Solution

The third proportional to 177,514 and 249,685 is: 351,198.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,514 : 249,685 = 249,685 : x
  2. Step 2: Convert to fraction form
    177,514/249,685 = 249,685/x
  3. Step 3: Cross multiply
    177,514x = 249,685 × 249,685
  4. Step 4: Simplify right side
    177,514x = 62,342,599,225
  5. Step 5: Solve for x
    x = 62,342,599,225/177,514
  6. Step 6: Final answer
    x = 351,198.21

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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.