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Finding the Third Proportional to 170,738 and 249,544

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Solution

The third proportional to 170,738 and 249,544 is: 364,723.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,738 : 249,544 = 249,544 : x
  2. Step 2: Convert to fraction form
    170,738/249,544 = 249,544/x
  3. Step 3: Cross multiply
    170,738x = 249,544 × 249,544
  4. Step 4: Simplify right side
    170,738x = 62,272,207,936
  5. Step 5: Solve for x
    x = 62,272,207,936/170,738
  6. Step 6: Final answer
    x = 364,723.78

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.