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Finding the Third Proportional to 174,305 and 369,540

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Solution

The third proportional to 174,305 and 369,540 is: 783,453.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,305 : 369,540 = 369,540 : x
  2. Step 2: Convert to fraction form
    174,305/369,540 = 369,540/x
  3. Step 3: Cross multiply
    174,305x = 369,540 × 369,540
  4. Step 4: Simplify right side
    174,305x = 136,559,811,600
  5. Step 5: Solve for x
    x = 136,559,811,600/174,305
  6. Step 6: Final answer
    x = 783,453.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.