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Finding the Third Proportional to 174,933 and 278,488

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Solution

The third proportional to 174,933 and 278,488 is: 443,344.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,933 : 278,488 = 278,488 : x
  2. Step 2: Convert to fraction form
    174,933/278,488 = 278,488/x
  3. Step 3: Cross multiply
    174,933x = 278,488 × 278,488
  4. Step 4: Simplify right side
    174,933x = 77,555,566,144
  5. Step 5: Solve for x
    x = 77,555,566,144/174,933
  6. Step 6: Final answer
    x = 443,344.40

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.