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Finding the Third Proportional to 174,340 and 369,612

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Solution

The third proportional to 174,340 and 369,612 is: 783,601.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,340 : 369,612 = 369,612 : x
  2. Step 2: Convert to fraction form
    174,340/369,612 = 369,612/x
  3. Step 3: Cross multiply
    174,340x = 369,612 × 369,612
  4. Step 4: Simplify right side
    174,340x = 136,613,030,544
  5. Step 5: Solve for x
    x = 136,613,030,544/174,340
  6. Step 6: Final answer
    x = 783,601.18

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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.