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Finding the Third Proportional to 174,988.69 and 270,217.69

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Solution

The third proportional to 174,988.69 and 270,217.69 is: 417,270.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,988.69 : 270,217.69 = 270,217.69 : x
  2. Step 2: Convert to fraction form
    174,988.69/270,217.69 = 270,217.69/x
  3. Step 3: Cross multiply
    174,988.69x = 270,217.69 × 270,217.69
  4. Step 4: Simplify right side
    174,988.69x = 73,017,598,637.85
  5. Step 5: Solve for x
    x = 73,017,598,637.85/174,988.69
  6. Step 6: Final answer
    x = 417,270.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.